Peter L. Christiansen:
PUBLICATIONS
Theses
Ph.D. Thesis
Peter Leth Christiansen, "Scattering of Short Electromagnetic and
Elastic Waves by a Circular Cylinder in Which Both Longitudinal and
Transverse Modes are Excited", Laboratory of Applied Mathematical Physics,
The Technical University of Denmark, Report No. 1, 1-107 (1965).
Dr. techn. Thesis
Peter Leth Christiansen, "Comparative Studies of Diffraction Processes",
Polyteknisk Forlag, Lyngby, Denmark, 14 + 241 pp. (1975).
Edited books and journal issues
- Structure, coherence and chaos in dynamical systems (eds. P.L.
Christiansen and R.D. Parmentier), Proceedings in Nonlinear Science,
Manchester University Press, Manchester, 663 pp.(1989).
- Davydov's Soliton Revisited (eds. P.L. Christiansen and A.C. Scott),
Proceedings from the NATO/MIDIT Advanced Research Workshop held at Hanstholm,
Denmark, July 31 - August 5, 1989, NATO ASI Series B: Physics Vol. 243, Plenum
Press, New York, 13+531 pp. (1991).
- Future Directions of Nonlinear Dynamics and Biological Systems (eds.
P.L. Christiansen, J.C. Eilbeck and R. D. Parmentier), NATO/MIDIT Advanced
Research Workshop held at The Technical University of Denmark, July 23 -August
1, 1992, Plenum Press, New York, 15+557 pp. (1993).
- Future Directions of Nonlinear Dynamics in Physical and Biological
Systems (eds. P.L. Christiansen, J.C. Eilbeck and R.D. Parmentier), Physica D
68, 1-186 (1992).
- Nonlinear Dynamic Phenomena in Physical,
Chemical and Biological Systems (eds. E. Mosekilde and P.L. Christiansen),
Mathematics and Computers in Simulation 40, 155-489 (1996). Also preprint:
Proceedings from Third International IMACS Conference on Computational
Physics, August 1-4 1994, The Technical University of Denmark, IMACS
Secretariat, Piscataway, NJ, USA, 9+268 pp. (1994).
- Complex Dynamics in Spatially Extended Systems (eds. E. Mosekilde,
T. Bohr, J. J. Rasmussen and P. L. Christiansen) Proceedings of the
International Conference held at Niels Bohr Institute, Copenhagen
27-30 September 1995, Physica Scripta T 67, 5-187 (1996).
- Nonlinear Science at the Dawn of the 21st Century (eds. P.L.
Christiansen and M. P. Sørensen) (in preparation).
- Proceedings from Solitons and Coherent Structures in Physics and Biology
(eds. P. L. Christiansen and M. P. Sørensen) held at The Technical
University of Denmark, May 30 - June 3, 1997 (to appear on www).
Papers in refereed scientific journals
Nonlinear waves
- P.L. Christiansen, "Resonant Interaction Approach and Slowly Varying
Approach in Nonlinear Wave Propagation", Alta Frequenza 38, 211-215 (1969).
- P.L. Christiansen and Y.M. Chen, "Application of a Modified Newton's
Iteration Method to Construct Solutions of Eigenvalue Problems of Nonlinear
Partial Differential Operators", SIAM J. Appl. Math.18, 335-345 (1970).
- M.P. Sørensen, P.L. Christiansen and P.S. Lomdahl, "Solitary Waves
on Nonlinear Elastic Rods. I" , J. Acoust. Soc. Amer. 76, 871-879 (1984).
- P.L. Christiansen, "Aspects of Modern Nonlinear Dynamics: Solitons
and Chaos Phenomena", Radio Science 19, 1124-1130 (1984).
- M.P. Sørensen, P.L. Christiansen, P.S. Lomdahl, and O. Skovgaard,
"Solitary Waves on Non-Linear Elastic Rods. II" , J. Acoust. Soc. Amer.
81, 1718-1722 (1987).
- P.L. Christiansen, V. Muto and S. Rionero, "Solitary Wave Solutions
to a System of Boussinesq-like Equations", Chaos, Solitons and Fractals 2,
45-50 (1992).
- V. Muto, P.L. Christiansen and P.S. Lomdahl, "Periodic travelling
wave solutions of a set of coupled Boussinesq-like equations", Phys.
Lett. A 162, 453-456 (1992).
- J. Trandum, P.L. Christiansen, Yu.B. Gaididei, V. Muto, and M.F.
Jørgensen, "New Solutions of a Set of Coupled Improved Boussinesq
Equations", Bulletin of the Technical University of Istanbul 47, 121-126
(1994).
- P.D. Miller and P.L. Christiansen, "A Coupled Korteweg-de Vries System and
Mass Exchanges Among Solitons"
(submitted).
Chaos and quantum chaology
- H. Skjolding, B. Branner-Jørgensen, P.L. Christiansen and H.E.
Jensen, "Bifurcations in Discrete Dynamical Systems with Cubic Maps",
SIAM J. Appl. Math. 43, 520-534 (1983).
49-58 (1983).
- M. Bartuccelli, P.L. Christiansen, N.F. Pedersen and M. Salerno,
"Horseshoe Chaos" in the Space-Independent Double Sine-Gordon System",
Wave Motion 8, 581-594 (1986).
- M. Bartuccelli, P.L. Christiansen, V. Muto, M.P. Sørensen and N.F.
Pedersen, "Chaotic behaviour of a pendulum with variable length", Il
Nuovo Cimento B 100, 229-249 (1987).
- M. Bartuccelli, P.L. Christiansen, V. Muto, and N.F. Pedersen,
"Sequence of subharmonic bifurcations and chaos in perturbed anharmonic
systems", Il Nuovo Cimento D 12, 1093-1108 (1990).
- L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, P.L. Christiansen,
M. Salerno, and A.C. Scott, "Classical and Quantum Analysis of Chaos in the
Discrete Self-Trapping Equation", Phys. Rev. B. 42, 522-526 (1990).
- H.K. Feddersen, R. Flesch, M. Salerno, and P.L. Christiansen,
"Comment on Theory of the Liapunov Exponents of Hamiltonian Systems and
a Numerical Study on the Transition from Regular to Irregular Classical
Motion", J. Chem. Phys. 92, 2117-2118 (1990).
- H.K. Feddersen, P.L. Christiansen and M. Salerno, "Quantum
Chaology in the Discrete Self-Trapping Equation in the Presence of
Arnol'd Diffusion" Physica Scripta 43, 353-355 (1991).
- D. Hennig, H. Gabriel, M.F. Jørgensen, P.L. Christiansen and C.B.
Clausen, "Homoclinic chaos in the DST trimer", Phys. Rev. E 51,
2870-2876 (1995).
Coherent structures and collapse
- P.S. Lomdahl, O.H. Olsen and P.L. Christiansen, "Return and Collapse
of Solutions to the Nonlinear Schrödinger Equations in Cylindrical
Symmetry", Physics Letters A 78 , 125-128 (1980).
- P.L. Christiansen, S. Pagano, and G. Vitiello, "The Lifetime of
Coherent Excitations in Langmuir-Blodgett Scheibe Aggregates", Phys.
Lett. A 154, 381-384 (1991).
- P.L. Christiansen, O. Bang, S. Pagano, and G. Vitiello, "The
Lifetime of Coherent Excitations in Continuous and Discrete Models of
Scheibe Aggregates", Nanobiology 1, 229-237 (1992).
- E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen,
"Low Dimensional Representations of Early Transition in Rotating Fluid".
Theoret. Comput. Fluid Dynamics 5 259-267 (1993).
- O. Bang, P.L. Christiansen, F. If, K. Ø. Rasmussen, and Yu.B.
Gaididei, "White noise in the two-dimensional nonlinear Schrödinger
equation", Applicable Analysis 57, 3-15 (1995).
- O. Bang, P.L. Christiansen, F. If, K. Ø. Rasmussen, and Yu.B.
Gaididei, "Temperature effects in a nonlinear model of monolayer Scheibe
aggregates", Phys. Rev. E 49 4627-4636 (1994).
- K.Ø. Rasmussen, O. Bang and P.L. Christiansen, "Driving and
collapse in a nonlinear Schrödinger equation". Phys. Lett. A 184,
241-244 (1994).
- K.Ø. Rasmussen, O. Bang, Yu.B. Gaididei and P.L. Christiansen,
"The Influence of Noise on Critical Collapse in a Nonlinear Schrödinger
Equation" Phys. Lett. A 204, 121-127 (1995).
- P.L. Christiansen, K.Ø. Rasmussen, O. Bang, Yu.B. Gaididei,
"The temperature-dependent collapse regime in a nonlinear dynamical model
of Scheibe aggregates", Physica D 87, 321-324 (1995).
- Yu.B. Gaididei, K.Ø. Rasmussen and P.L. Christiansen,
"Dipole-like nonlinear excitations in an inhomogeneous two-dimensional
system", Phys. Lett. A 203, 175-180 (1995).
- P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen
and I.I. Yakimenko, "Collapse of solitary excitations in the nonlinear
Schrödinger equation with nonlinear damping and white noise", Phys. Rev.
E 54, 924-930 (1996).
- K.Ø. Rasmussen, Yu.B. Gaididei, O. Bang, and P.L. Christiansen,
"Nonlinear and stochastic modelling of energy transfer in Scheibe aggregates",
Mathematics and Computers in Simulation 40, 339-358 (1996).
- P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen,
D. Usero, and L. Vazquez, "Stabilization of nonlinear excitations
by disorder", Phys. Rev. B 56, 14407-14413 (1997).
- Yu.B. Gaididei, D. Henriksen, P. L. Christiansen, and
K.Ø. Rasmussen, "Stationary states of the two-dimensional
Schrödinger model with disorder", Phys. Rev. B 58, 3075-3081 (1998).
- Yu. B. Gaididei, J. Schjødt-Eriksen, P. L. Christiansen, and
K. Ø. Rasmussen, "Collapse arresting in an inhomogeneous quintic nonlinear
Schrödinger model" (accepted).
Nonlinear optics
- H.E. Lassen, F. Mengel, B. Tromborg, N.C. Albertsen and P.L. Christiansen,
"Evolution of chirped pulses in nonlinear single-mode fibers", Optics Letters 10, 34-36
(1985).
- F. If, P.L. Christiansen, J.N. Elgin, J.D. Gibbon and O. Skovgaard,
"A Theoretical and Computational Study of the Soliton Laser", Optics
Comm. 57, 350-354 (1986).
- F. If, P.L. Christiansen, J.N. Elgin, J.D. Gibbon and O. Skovgaard,
"A numerical model of the soliton laser", Physica 23 D, 362-369 (1986).
- F. If, P. Berg, P.L. Christiansen, and O. Skovgaard, "Split-step
spectral method for nonlinear Schrödinger equation with absorbing
boundaries", J. Comp. Phys. 72, 501-503 (1987).
- J. Mørk, P.L. Christiansen, H.E. Lassen and B. Tromborg, "The
evolution of solitons from chirped and noisy pulses in single-mode fibres",
IEE Proc. 134, Pt. J, 127-134 (1987).
- P. Berg, F. If, P.L. Christiansen and O. Skovgaard, "Soliton Laser:
A Computational Two-Cavity Model", Phys. Rev. A 35, 4167-4174 (1987).
- N.H. Jensen, P.L. Christiansen and O. Skovgaard, "On period doubling
bifurcations in semiconductor lasers", IEE Proceedings 135, Part J,
285-288 (1988).
- J. Mørk, B. Tromborg and P.L. Christiansen, "Bistability and
low frequency fluctuation in semiconductor lasers with optical feedback:
A Theoretical Analysis", IEEE J. Quantum Electron. 24, 123-133 (1988).
- N.H. Jensen, P.L. Christiansen and O. Skovgaard, "Effect of Gain
Nonlinearity in Semiconductor Lasers", Phys. Rev. B 38, 8219-8225 (1988).
- J. Mørk, P.L. Christiansen and B. Tromborg, "Limits of stable
operation of AR-coated semiconductor lasers with strong feedback",
Electronics Letters 24, 1065-1066 (1988).
- T. Geisler, P.L. Christiansen, J. Mørk, and P.S. Ramanujam, "Split-
Step Spectral Method for Nonlinear Schrödinger Equation with Constant
Background Intensities", J. Comp. Phys. 86, 492-495 (1990).
- N. Grønbech-Jensen, P.L. Christiansen and P.S. Ramanujam,
"Phase properties of squeezed states", J. Opt. Soc. Amer. B 6, 2423-2429
(1989).
- R.M. Abrarov, P.L. Christiansen, S.A. Darmanyan, A.C. Scott, and
M.P. Sørensen, "Soliton Propagation in Three Coupled Nonlinear Schrödinger
Equations", Phys. Lett. A171, 298-302 (1992).
- M.P. Sørensen, K.A. Shore, T. Geisler, P.L. Christiansen, J. Mørk,
and J.Mark, "Dynamics of Additive Pulse Mode-Locked of Fibre Lasers",
Optics Communications 90, 65-69 (1992).
- T. Geisler, K.A. Shore, M.P. Sørensen, P.L. Christiansen,
J. Mørk, and J. Mark, "Nonlinear fiber external cavity mode locking
of erbium-doped
fiber lasers", J. Opt. Soc. Amer. B 10, 1166-1174 (1993).
- F. Kh. Abdullaev, S. A. Darmanyan, S. Bischoff, P.L. Christiansen and
M.P. Sørensen, "Modulational instability in optical fibers near the zero
dispersion point". Opt. Comm. 108, 60-64 (1994).
- P.L. Christiansen, J.C. Eilbeck, V.Z. Enol'skii and N.A. Kostov,
"Quasi-periodic Solutions of the Coupled Nonlinear Schrödinger
Equations", Roy.Soc.London.Ser.A: Mathematical and Physical Series 451,
685-700 (1995).
- P. Nguyen, P. Skovgaard, P.L. Christiansen and M.P. Sørensen,
"Solitons in Fiber Lasers and Mode-Locked Systems", Chaos, Solitons,
and Fractals 5, 2465-2473 (1995).
- C. Balslev Clausen, P.L. Christiansen, and L. Torner, "Perturbative
approach to the interaction of solitons in quadratic nonlinear media", Opt.
Comm. 136, 185-192 (1997).
- C. Balslev Clausen, O. Bang, Yu. S. Kivshar, and P.L. Christiansen, "Effect
of fluctuating phase mismatch on spatial solitons in quadratic media",
Opt. Lett. 22, 271-273 (1997).
- L. Bergé, M.R. Schmidt, J. Juul Rasmussen, P.L. Christiansen, and
K.Ø. Rasmussen, "Amalgamation of interacting light beamlets in
Kerr-type media", J. Opt. Soc. Am. B 14, 2550-2562 (1997).
- O. Bang, P.L. Christiansen, and C. Balslev Clausen, "Stationary solutions
and self-trapping in discrete quadratic nonlinear systems", Phys. Rev. E 56,
7257-7266 (1997).
- M. Quiroga-Teixeiro, C. Balslev Clausen, M.P. Sørensen, P.L.
Christiansen, and P.A. Andrekson, "Passive mode-locking by dissipative
four wave mixing" J. Opt. Soc. Am. B 15, 1-7 (1998).
- J. Schjødt-Eriksen, M. R. Schmidt, J. Juul Rasmussen, P. L.
Christiansen, Yu. B. Gaididei, and L. Bergé, "Two-beam interaction in
saturable media", Physics Lett. A 246, 423-428 (1998).
- V. V. Konotop, M. D. Cunha, P. L. Christiansen, and C. Balslev Clausen,
Three-wave interaction in two-component quadratic nonlinear lattices",
Phys. Rev. E (accepted).
- C. Balslev Clausen, P. L. Christiansen, L. Torner, and Yu. B. Gaididei,
"Engineered nonlinear lattices" (submitted).
- Ole Bang, C. Balslev Clausen, P. L. Christiansen, and L. Torner
" Engineering competing nonlinearities ", Optics Lett. (accepted).
- Yu. B. Gaididei and P. L. Christiansen, "Spatiotemporal collapse in
nonlinear waveguides with randomly fluctuating refractive index", Optics
Letters 23, 1090-1092 (1998).
- C. Balslev Clausen, Yuri B. Kivshar, Ole Bang, and P. L. Christiansen,
"Quasiperiodic Envelope Solitons" (submitted).
- L. Bergé, P. L. Christiansen, Yu. B. Gaididei, J. Juul Rasmussen, and
V. K. Mezentsev, "Self-Focusing and Self-Guiding in Layered Media"
(in progress).
- J. Schjødt-Eriksen, J. V. Moloney, E. M. Wright, P. L. Christiansen,
and Q. Feng, "Polarization Instability of Femtosecond Pulse-Splitting in
Normally Dispersive Self-Focusing Media" (in progress).
- P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii, and N. A. Kostov,
"Quasi-periodic and periodic solutions for systems of coupled nonlinear
Schrödinger equations" (submitted).
Sine-Gordon systems and fluxon-based electronic superconducting
components
- P.L. Christiansen and O.H. Olsen, "On Dynamical Two-Dimensional
Solutions to the Sine-Gordon Equation", Zeitschrift für angewandte
Mathematik und Mechanik 59, 3, T 30 - T 31 (1979).
- P.L. Christiansen and O.H. Olsen, "Return Effect for Rotationally
Symmetric Solitary Wave Solutions to the Sine-Gordon Equation", Physics
Letters 68 A, 185-188 (1978).
- P.L. Christiansen and O.H. Olsen, "Ring-Shaped Quasi-Solitons to the
Two and Three-Dimensional Sine-Gordon Equation", Physica Scripta 20, 531
-538 (1979).
- P.L. Christiansen, "Application of a New Bäcklund Transformation
for the 3+1 Dimensional Sine-Gordon Equation", Zeitschrift für angewandte
Mathematik und Mechanik 60, T 242 - T 243 (1980).
- P.L. Christiansen and O.H. Olsen, "Fluxons on a Josephson Line with
Loss and Bias", Wave Motion 2, 185-196 (1980).
- P.L. Christiansen and O.H. Olsen, "Reflection of Fluxons on a
Josephson Line Cavity", Physica D 1, 412-419 (1980).
- P.L. Christiansen and O.H. Olsen, "Propagation of Fluxons on a
Josephson Line with Impurities", Wave Motion 4, 163-172 (1982).
- P.L. Christiansen and P. Lomdahl, "Numerical Study of 2 + 1
Dimensional Sine-Gordon Solitons", Physica D 2, 482-494 (1981).
- P.L. Christiansen, P. Lomdahl and N.J. Zabusky, "Tunable Oscillator
Using Pulsons on Large-Area Lossy Josephson Junctions" , Appl. Physics
Letters 39, 170-172 (1981).
- P.L. Christiansen, P.S. Lomdahl, A.C. Scott, O.H. Sørensen, and J.C.
Eilbeck, "Internal Dynamics of Long Josephson Junction Oscillators",
Appl. Physics Letters 39, 108-110 (1981).
- P.S. Lomdahl, O.H. Sørensen, P.L. Christiansen, A.C. Scott, and J.C.
Eilbeck, "Multiple Frequency Generation by Bunched Solitons in Josephson
Tunnel Junctions" , Phys. Rev. B 24, 7460-7462 (1981).
- O.H. Sørensen, P.S. Lomdahl and P.L. Christiansen, "Fluxon Dynamics
in Intermediate Length Josephson Tunnel Junctions", Physica B + C 108,
1299-1300 (1981).
- P.S. Lomdahl, O.H. Sørensen and P.L. Christiansen, "Soliton Dynamics
and Zero Field Steps in Josephson Tunnel Junctions", Physica Scripta 25,
879-881 (1982).
- P.S. Lomdahl, P.L. Christiansen and O.H. Sørensen, "Soliton
Excitations in Josephson Tunnel Junctions", Phys. Rev., B25, 5737-5748 (1982).
- T.H. Sørensen, P.L. Christiansen and P.S. Lomdahl, "An Approximate
Theory for Bunched Solitons on Finite Josephson Junctions", Phys. Lett. A
89, 308-309 (1982).
- M. Salerno, M.P. Sørensen, O. Skovgaard and
P.L. Christiansen, "Perturbation Theories for Sine-Gordon Soliton Dynamics",
Wave Motion 5, 49-58, (1983)
- M.P. Sørensen, P.L. Christiansen, R.D. Parmentier, and O.Skovgaard,
"Subharmonic Generation in Josephson Junction Fluxon Oscillators Biased on
Fiske Steps" , Appl. Phys. Lett. 42, 739-741 (1983).
- F. If, M.P. Sørensen and P.L. Christiansen, "Fluxon Dynamics on the
Circular Josephson Oscillator", Phys. Lett. A 100, 68-70 (1984).
- M.P. Sørensen, N. Arley, P.L. Christiansen, R.D. Parmentier, and
O. Skovgaard, "Intermittent Switching Between Soliton Dynamic States in
Perturbed Sine-Gordon Model", Phys. Rev. Lett. 51, 1919-1922 (1983).
- M.P. Sørensen, R.D. Parmentier, P.L. Christiansen, O. Skovgaard,
B. Dueholm, E. Jørgensen, V.P. Koshelets, O.A. Levring, R. Monaco, J.
Mygind, N.F. Pedersen, and M.R. Samuelsen, "Magnetic Field Dependence of
Microwave Radiation in Intermediate Length Josephson Junctions", Phys.
Rev. B 30, 2640-2648 (1984).
- M.P. Sørensen, M. Bartuccelli, P.L. Christiansen and A.R. Bishop,
"On the Low-Dimensional Chaos in RF Squids", Phys. Lett. 109 A, 347-351 (1985).
- F. If, P.L. Christiansen, R.D. Parmentier, O. Skovgaard, and M.P.
Sørensen, "Simulation Studies of radiation linewidth in circular
Josephson-Junction fluxon oscillators", Phys. Rev. B 32, 1512-1518 (1985).
- M. Bartuccelli, P.L. Christiansen, M.P. Sørensen, and N.F. Pedersen,
"Prediction of chaos in Josephson junction by the Melnikov function
technique", Phys. Rev. B 33, 4686-4691 (1986).
- S. Pagano, M.P. Sørensen, R.D. Parmentier, P.L. Christiansen and O.
Skovgaard, "Switching between dynamic states in intermediate-length
Josephson junctions", Phys. Rev. B 33, 174-182 (1986).
- M. Fordsmand, P.L. Christiansen and F. If, "Perturbation theory for
radiation linewidth in circular Josephson-junction oscillators" , Phys.
Lett. A 116 , 71-72 (1986).
- P.L. Christiansen, "Stability of dynamic states in Josephson
junctions", Physica D 23, 68-72 (1986).
- S. Pagano, M.P. Sørensen, P.L. Christiansen and R.D. Parmentier,
"Stability of Fluxon Motion in Long Josephson Junctions at High Bias",
Phys. Rev. B 38, 4677-4687 (1988).
- M.G. Forest, S. Pagano, R.D. Parmentier, P.L. Christiansen, M.P.
Sørensen, and S.-P. Sheu, "Numerical Evidence for Global Bifurcations
Leading to Switching Phenomena in Long Josephson Junctions", Wave
Motion 12, 213-226 (1990).
- G. Filatrella, R.D. Parmentier, S. Pagano, P.L. Christiansen, M.P.
Sørensen and N. Grønbech-Jensen, "On the switching between soliton
dynamic states in long Josephson junctions", Phys. Lett. A 172, 127-130
(1992).
- T. Pavlopoulos, P.L. Christiansen and M.P. Sørensen, "Double
Phase Transition in High Tc-Superconductors". Z. Phys. B 91, 43-46 (1993).
- P.L. Christiansen, N. Grønbech-Jensen, P.S. Lomdahl, and B.A.
Malomed, "Oscillations of eccentric pulsons", Physica Scripta 55,
131-134 (1997).
- A.G. Maksimov, N.F. Pedersen, P.L. Christiansen, Ja.I. Molkov and
V.I. Nekorkin, "On kink-dynamics of the perturbed sine-Gordon equation", Wave
Motion 23, 203-213 (1996).
- A. Petraglia, N.F. Pedersen, P.L. Christiansen, and A.V. Ustinov,
"Comparative dynamics of two-dimensional shorted arrays and continuous stacked Josephson
junctions", Phys. Rev. B 55, 8490-8496 (1997).
- C. Gorria, A. Bisgaard, P.L. Christiansen, Yu. B. Gaididei, and M. P.
Sørensen, "Internal Instability in the Fluxon Dynamics
of Stacked Josephson Junctions" (in progress).
Lattice dynamics and molecular dynamics
- J.H. Jensen, P.L. Christiansen, N.J. Elgin, J.D. Gibbon, and O.
Skovgaard, "Correlation Exponents for Trajectories in the Low-Dimensional
Discrete Selftrapping Equation", Phys. Lett. A 110, 429-431 (1985).
- L. Cruzeiro-Hansson, P.L. Christiansen and J.N. Elgin, "Comment
on "Self-trapping on a dimer: Time dependent solutions of a discrete non-
linear Schrödinger equation", Phys. Rev. B 37, 7896-7897 (1988).
- P.L. Christiansen, "On a Generalized Discrete Self-Trapping Equation", J.
Molecular Liquids. 41, 113-121 (1989).
- A.C. Scott and P.L. Christiansen, "A Generalized Discrete
Self-Trapping Equation" Physica Scripta 42, 257-262 (1990).
- P.L. Christiansen, P.S. Lomdahl and V. Muto, "On a Toda Lattice
Model with a Transversal Degree of Freedom", Nonlinearity 4, 477-501
(1990).
- N. Østergaard, P.L. Christiansen and O. Faurskov Nielsen, "Ab
Initio Investigation of Vibrations in Free and Hydrogen Bonded Formamide",
J. Molecular Structure (Theochem) 235, 423-446 (1991).
- O. Bang and P.L. Christiansen, "A Discrete Anisotropic Model for
Scheibe Aggregates", Le Matematiche XLVI, 29-40 (1991).
- M.F. Jørgensen and P.L. Christiansen, "Hamiltonian structure
for a modified discrete self-trapping dimer". Chaos, Solitons, and
Fractals 4, 217-225 (1994).
- O. Bang, J. Juul Rasmussen and P.L. Christiansen, "Subcritical
localization in the discrete nonlinear Schrödinger equation with
arbitrary power nonlinearity", Nonlinearity 7, 205-218 (1994).
- O. Bang, J. Juul Rasmussen and P.L. Christiansen, "On Localization
in the discrete nonlinear Schrödinger equation", Physica D 68,
169-173 (1993).
- M. F. Jørgensen, P.L. Christiansen and I. Abou-Hayt, "On a
modified discrete self-trapping dimer". Physica D 68, 180-184 (1993).
- P.L. Christiansen, M. F. Jørgensen and V. B. Kuznetsov, "On
integrable systems close to the Toda lattice". Lett. Math. Phys. 29,
165-173 (1993).
- Yu. B. Gaididei, P.L. Christiansen and S.F. Mingaleev, "Bound
states of envelope and Boussinesq solitons in anharmonic lattices".
Physica Scripta 51, 290-299 (1995).
- P.L. Christiansen, M. Hays, M.F. Jørgensen, and A.C. Scott,
"Quantizing a rotating wave" Physics Letters A 201, 407-412 (1995).
- V.B. Kuznetsov, M.F. Jørgensen and P.L. Christiansen, "New
Boundary Conditions for Integrable Lattices", Journal of Physics, Math.
Gen. 28, 4639-4653 (1995).
- Yu.B. Gaididei, K.Ø. Rasmussen and P.L. Christiansen,
"Nonlinear excitations in two-dimensional molecular structures with
impurities", Phys. Rev. E 52, 2951-2962 (1995).
- Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen and K.Ø. Rasmussen,
"Effect of nonlocal dispersion on self-interacting excitations", Phys.
Lett. A 222, 152-156 (1996).
- V.M. Kenkre, M.F. Jørgensen, and P.L. Christiansen, "Exponential
Nonlinearity and Saturation in Quantum Nonlinear Dimers", Physica D 90, 280-292
(1996).
- M.F. Jørgensen and P.L. Christiansen, "Self-trapping and blow-up in
integrable dimers", J. Phys. A: Math. Gen. 31, 969-976 (1998).
- P.L. Christiansen, Yu.B. Gaididei, K.Ø. Rasmussen,
V.K. Mezentsev
and J.Juul Rasmussen, "Dynamics in discrete two-dimensional nonlinear Schrödinger
equations in the presence of point defects", Phys. Rev. B 54, 900-912 (1996).
- D. Ellinas, M. Johansson, and P.L. Christiansen, "Quantum nonlinear
lattices
and coherent state vectors", Physica D (accepted).
- P.L. Christiansen, A.V. Savin, and A.V. Zolotaryuk, "Zig-zag version of
the Frenkel-Kontorova model", Phys. Rev. B 54, 12892-12902 (1996).
- A.V. Zolotaryuk, P.L. Christiansen and A.V. Savin, "Two-dimensional
dynamics of a free molecular chain with secondary structure" , Phys.
Rev. E 54, 3881-3894 (1996).
- P.L. Christiansen, Yu.B. Gaididei, M. Johansson, and K.Ø. Rasmussen,
"Breatherlike excitations in discrete lattices with noise and nonlinear
damping", Phys. Rev. B 55, 5759-5766 (1997).
- P.L. Christiansen, A.V. Savin, and A. V. Zolotaryuk, "Soliton Analysis in
Complex Molecular Systems: A Zig-Zag Chain", J. Comp. Phys. 134, 108-121
(1997).
- Yu.B. Gaididei, P.L. Christiansen, K.Ø. Rasmussen, and M.
Johansson "Two-dimensional effects in nonlinear Kronig-Penney models",
Phys. Rev. B 55, R13-365-368 (1997).
- P.L. Christiansen, P. Maniadis, and G.P. Tsironis, "Exact solution
of a generalized Schrödinger equation dimer", Physica Scripta 57, 192-94
(1998).
- Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen, and K.Ø.
Rasmussen, "Effects of nonlocal dispersive interactions on self-trapping
excitations" Phys. Rev. E 55, 6141-6149 (1997).
- K.Ø. Rasmussen, P.L. Christiansen, M. Johansson, Yu.B. Gaididei,
and S.F. Mingaleev, "Localized excitations in discrete nonlinear
Schrödinger systems: Effects of nonlocal dispersive interactions and
noise", Physica D 113, 134-151 (1998).
- P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen,
V.K. Mezentsev, and J. Juul Rasmussen, "Solitary excitations in discrete
two-dimensional nonlinear Schrödinger models with dispersive
dipole-dipole interactions", Phys. Rev. B 57, 11303-11318 (1998).
- M. Johansson, Yu.B. Gaididei, P.L. Christiansen, and K.Ø. Rasmussen,
"Switching between bistable states in a discrete nonlinear model with
long-range interaction", Phys. Rev. E 57, 4739-4742 (1998).
- M. Johansson, S. Aubry, Yu.B. Gaididei, P. L. Christiansen, and
K.Ø. Rasmussen, "Dynamics of breathers in discrete nonlinear
Schrödinger models", Physica D 119, 115-124 (1998).
- P.L. Christiansen, A. V. Savin, and A. V. Zolotaryuk,
"Topological solitons and dislocations in two- and three-dimensional
anisotropic crystals", Phys. Rev. B 57 13564-13572 (1998).
- Y. Zolotaryuk, A. V. Savin, and P. L. Christiansen,
"Solitary plane waves in an isotropic hexagonal lattice",
Phys. Rev. B 57 14213-14227 (1998).
- Y. Zolotaryuk, P. L. Christiansen, J. Juul Rasmussen,
"Polaron dynamics in a 2D anharmonic Holstein model", Phys. Rev. B 58,
14305-14319 (1998).
- Yu. B. Gaididei, S. F. Mingaleev, and P. L. Christiansen,"
Curvature-induced symmetry breaking in nonlinear Schrödinger models
" (submitted).
- A. V. Zolotaryuk, P. L. Christiansen, B. Nordén, A. V. Savin, and
Y. Zolotaryuk, "The pendulum as a model system for driven rotation in
molecular nanoscale machines" (submitted).
- A. V. Savin, L. I. Manevitch, P. L, Christiansen, and A. V. Zolotaryuk
"Nonlinear Dynamics of zigzag molecular chains",
Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences
169, 255-270 (1999) (in Russian); Physics-Uspekhi (to appear).
- P. L. Christiansen, J. M. Khalack, A. V. Savin, and A. V. Zolotaryuk,
" Toplogical defects in three-dimensional anisotropic crystal"
(in progress).
Biophysics and biomolecular dynamics
- J.H. Jensen, P.L. Christiansen, A.C. Scott, and O. Skovgaard, "Chaos
on the Beeler-Reuter System for the Action Potential of Ventricular
Myocardial Fibres", Physica D 13, 269-277 (1984).
- J.H. Jensen, P.L. Christiansen, O. Skovgaard, O. Faurskov Nielsen and
Irving J. Bigio, "Experimental and Computational Study of N-Methylacetamide",
Phys. Lett. A 117, 123-126 (1986).
- G. Careri, E. Compatangelo, P.L. Christiansen, J. Halding, and O.
Skovgaard, "On the dielectric constant for acetanilide: Experimental
measurements and effect on energy transport", Physica Scripta 35, 64-66 (1986).
- L . Cruzeiro, J.H. Jensen, P.L. Christiansen, A.C. Scott, and O.
Skovgaard, "Temperature Effects on the Davydov Soliton", Phys. Rev. A 37,
880-887 (1988).
- V. Muto, J. Halding, P.L. Christiansen and A.C.Scott, "Solitons
in DNA", J. Biomolecular Structure and Dynamics 5, 873-894 (1988).
- V. Muto, A.C. Scott and P.L. Christiansen, "Thermally Generated
Solitons in a Toda Lattice Model of DNA" Phys. Lett. A 136, 33-36 (1989).
- V. Muto, A.C. Scott and P.L. Christiansen, "A Toda Lattice Model
for DNA: Thermally Generated Solitons", Physica D 44, 75-91 (1990).
- V. Muto, A.C. Scott and P.L. Christiansen, "Microwave and Thermal
Generation of Solitons in DNA", J. de Physique, Colloque C3, 50 C3-217-222
(1989).
- P.S. Lomdahl, V. Muto and P.L. Christiansen, "A two-dimensional
discrete model for DNA dynamics: Longitudinal wave propagation and
denaturation, Phys. Rev. A 42, 7452-7458 (1990)
- H. Feddersen, P.L. Christiansen and M.P. Sørensen, "Global
Bifurcations in the Fitzhugh-Nagumo Equations for Nerve Wave Propagation",
J. Biological Phys. 17, 271-280 (1990).
- P.L. Christiansen, J.C. Eilbeck, V.Z Enol'skii, and Yu.B. Gaididei,
"On Ultrasonic Davydov Solitons and the Hénon-Heiles System". Phys.
Lett. A 166, 129-134 (1992).
- P.L. Christiansen and V. Muto, "Nonlinear models of DNA dynamics",
Physica D 68, 93-96 (1993).
- P.L. Christiansen, Yu. B. Gaididei, J. C. Eilbeck, V. Z. Enol'skii,
"Ultrasonic charge density waves and the Hénon-Heiles system",
Ukrainian Fiz. Jurn. 37, 1887-1892 (1992). (In Russian).
- J.A. Tuszynski, P.L. Christiansen, O. Bang, and M.L.A. Nip, "The
thermodynamics of exciton-self-trapping in biomolecular chains".
Physica Scripta 51, 423-430 (1995).
- P.L. Christiansen, A.V. Zolotaryuk, and A.V. Savin, "Solitons in an
isolated helix chain", Phys. Rev. E 56, 877-889 (1997).
-
S. F. Mingaleev, P. L. Christiansen, Yu. B. Gaiddei, M. Johansson, and K.
Ø. Rasmussen, " Models for Energy and Charge Transport and Storage
in Biomolecules " J. Biol. Phys. 25, 41-63 (1999).
- B. Nordén, A. V. Zolotaryuk, and P. L. Christiansen, "
Soliton Chirality and Rotatory Ratchet - Clockwork of ATP Synthase? "
(submitted).
Conference Proceedings
Antenna and diffraction theory
- P.L. Christiansen, "On the Closed Form of the Array Factor for Linear
Arrays", IEEE Trans. On Antennas and Propagation, (Commun.) AP-11, 198
(1963).
- P.L. Christiansen, "Z-Transform Theory in General Array Analysis",
IEEE Trans on Antennas and Propagation, (Commun.) AP-12, 647 (1964).
- P.L. Christiansen, "Comparison Between Edge Diffraction Processes",
Proc. of IEEE, 62, 1462-1468 (1974).
- N.C. Albertsen and P.L. Christiansen, "Hybrid Diffraction Coefficients
for First and Second Order Discontinuities of Two-Dimensional Scatterers" ,
SIAM J. Appl. Math. 34, 398-414 (1978).
- H. Bach and P.L. Christiansen, "Numerical Investigation of Creeping
Waves in Water Wave Theory", Zeitschrift für angewandte Mathematik und
Mechanik 58, 7, T 357 - T 358 (1978).
- P.L. Christiansen, "Source and Sink Factors and Diffraction
Coefficients in the Geometrical Theory of Diffraction", Wave Motion 1,
317-327 (1979).
Nonlinear waves
- P.L. Christiansen, "Aspects of Modern Non-Linear Dynamics: Soliton
and Chaos Phenomena", International URSI Symposium 1983, held August
23-26, 1983 at University of Santiago, Spain, Proceedings, pp. I-V (1983).
- P.L. Christiansen, V. Muto and M.P. Sørensen, "Solitary
Waves on Nonlinear Elastic Rods", Proceedings of the 2nd IUTAM-IUPAP
Symposium on Elastic Wave Propagation, Galway, Ireland, March 1988, (eds.
M.F. McCarthy and M.A. Hayes), North-Holland, Amsterdam 167-172 (1989).
- P.L. Christiansen, S. Rionero, P.S. Lomdahl and V. Muto), "Stability
of a Solitary Wave Solution to a Set of Coupled Boussinesq-Like Equations"
Proc. from Meeting V "Waves and Stability in Continuous Media",
Sorrento, Italy 9-14 October 1989, (ed. S. Rionero) Ser. Adv. Math. Appl.
Sci. Vol. 4, World Scientific, 40-59 (1991).
- M.F. Jørgensen, P.L. Christiansen, S. de Lillo, and L. Cruzeiro-
Hansson, "Note on a Complex Eckhaus Equation" Chaotic Dynamics:
Theory and Practice, Proc. NATO ASI, Patras, Greece, July 11-20, 1991,
(ed. T. Bountis) Plenum Press, New York, 71-73 (1992).
- P.L. Christiansen, P.S. Lomdahl, V. Muto, and S. Rionero, "Solitary
waves and blow up in a system of Boussinesq-like equations" Part of
Nonlinear waves in solids. Wegner, J.L.; Norwood, F.R. (Eds). ASME Book
No AMR 137, 126-127 (1994).
- P.L. Christiansen, "Applications of Non-linear Dynamics",
The Nonlinearity and the Disorder, Editorial Complutense, Madrid, Spain.
L. Vazquez and S. Jimenes (Eds.) 73-83 (1996).
- C. Gorria, V. Muto, P.L. Christiansen, amd Yu. B. Gaididei,"
On a system of coupled improved Boussinesq equations", in Proceedings from
Solitons and Coherent Structures in Physics and Biology (eds. P. L.
Christiansen and M. P. Sørensen) held at The
Technical University of Denmark, May 30 - June 3, 1997 (to appear on www).
Chaos and quantum chaology
- H.K. Feddersen, L. Cruzeiro-Hansson, R. Flesch, P.L. Christiansen,
M. Salerno, and A.C. Scott, "Quantum and Classical Descriptions of
Chaos in the DST Equation" in "Davydov's Soliton Revisited. Self-Trapping
of Vibrational Energy in Protein" (eds. P.L. Christiansen and A.C.
Scott) NATO ASI Series B: Physics. Vol. 243, 505-510, Plenum (1990).
- P.L. Christiansen, L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, M.
Salerno, and A.C. Scott, "Classical and Quantum Mechanical Analysis
of Order and Chaos in the Discrete Self-Trapping Equation" Proc. from
Nonlinearity with Disorder, International Workshop, Tashkent USSR, Oct.
1-7, 1990 (eds. F. Abdullaev, A.R. Bishop, and S. Pnevmatikos) Springer
Proceedings in Physics 67, Springer-Verlag, 58-65 (1992).
Coherent structures and collapse
- P.L. Christiansen, P.S. Lomdahl, J.P. Lynov, H.L. Pécseli, J.J.
Rasmussen, and K. Thomsen, "Langmuir Collapse in Magnetized Plasma",
Proceedings from 1982 International Conference on Plasma Physics held in
Gothenburg, Sweden, 239 (1982).
- P.L. Christiansen, "On Coherence and Chaos in a Physical System",
Proceedings of 11th IMACS World Congress on System Simulation and Scientific
Computing (eds. B. Wahlstrom, R. Henriksen, and N.P. Sundby), North-Holland,
4, 273-276 (1985).
- P.L. Christiansen, "Coherent Excitations in Some Physical and
Biochemical Systems", 9th Dundee Conference on Ordinary and Partial
Differential Equations, 1986, (eds. B.D. Sleeman and J. Jarvis) Longman
Scientific and Technical, Wiley and Sons, 1-15 (1987).
- E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen,
"Modelling of Low-Dimensional Incompressible, Viscous, Rotating Fluid
Flow" in Solitons and Chaos, (eds. I. Antoniou and F.J. Lambert) Proc.
of Solitons and Chaos, Springer-Verlag, 135-137 (1991).
- E. A. Christensen, J. N. Sørensen, M. Brøns, and P.L.
Christiansen, "Low-dimensional behavior in the rotating driven cavity
problem". "Future Directions of Nonlinear Dynamics in Physical
and Biological Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and
Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312, 45-49 (1993).
- E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen,
"Low-Dimensional Behaviour in the Rotating Driven Cavity Problem"
in "Physics of Manifolds", (eds. M. Flato, R. Kerner, and A.
Licherowicz), Klüwer Academic Publishers, Physics Studies 15, 321-330 (1994).
- O. Bang, P.L. Christiansen, K.Ø. Rasmussen and Yu.B. Gaididei,
"The role of nonlinearity in modelling energy transfer in Scheibe
aggregates", Springer-Verlag Berlin Heidelberg New York. M. Peyrard
(Ed.), 317-336 (1994).
- P.L. Christiansen, K.Ø. Rasmussen, O. Bang and Yu.B. Gaididei,
"Blow-up and Thermal Fluctuations in the nonlinear Schrödinger
Equation". Fluctuation Phenomena: Disorder and Nonlinearity. Madrid,
Spain. World Scientific Singapore London. A.R. Bishop, S. Jimenez, L. Vazquez
(Eds.) 38-43 (1995).
- P.L. Christiansen, K.Ø. Rasmussen, M. Johansson, Yu.B. Gaididei
and O. Bang, "On Some NLS-systems and their applications", Proc.
Euroconference on Nonlinear Klein-Gordon and Schrödinger Systems:
Theory and Applications, San Lorenzo de El Escorial, 25-30 September, 1996.
World Scientific Singapore London. L. Vazquez, L. Streit, and
V.M. Perez-Garcia (Eds.) 215-233 (1996).
- Yu.B. Gaididei, K.Ø. Rasmussen, P.L. Christiansen and S.F. Mingaleev,
"Non-local Nonlinear Schrödinger Equation." Proceedings
for Nonlinear Coherent Structures in Physics and Biology, July 10-14, 1995,
Heriot-Watt University, Edinburgh, Scotland.
http://www.ma.hw.ac.uk/solitons/procs/rasmussen/info.html
- Yu.B. Gaididei, S.F. Mingaleev, I.I. Yakimenko, P.L. Christiansen,
M. Johansson, and K.Ø. Rasmussen, "The nonlinear Schrödinger
system: Collapse, Nonlinear damping, Noise, Impurities and Nonlocal dispersion",
Physica Scripta T67, 151-159 (1996).
Fluid dynamics
- J.C. Bennetsen, J.N. Sørensen, H.T. Søgaard, and P.L.
Christiansen, "Numerical simulation of turbulent airflow in a livestock
building", ROOMVENT '96, 5th International Conference on Air Distribution
in Rooms, held July 17-19, 1996 in Yokohama, Japan. S. Murakami (Ed.) 168-176
(1996).
Nonlinear optics
- P.L. Christiansen, "Solitons in Optical Fibres", Applied
and Industrial Mathematics, (ed. R. Spiegler), Klüwer Academic Publishers,
263-265 (1991).
- A.K. Shore, T. Geisler, P.L. Christiansen, J. Mark, and J. Mørk,
"Dynamics of Fibre laser with Nonlinear External Cavity" Chaotic
Dynamics: Theory and Practice, Proc. from NATO ASI, Patras, Greece, July
11-20, 1991, (ed. T. Bountis) Plenum Press, New York, 243-251 (1992).
- M. P. Sørensen, T. Geisler, K. A. Shore, P.L. Christiansen,
J. Mørk and J. Mark, "Dynamics of a fibre laser coupled to
a nonlinear fibre cavity", in "Future Directions of Nonlinear
Dynamics in Physical and Biological Systems" (eds. P.L. Christiansen,
Eilbeck, J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B,
vol. 312, pp. 421-424 (1993).
- C. Balslev Clausen, P.L. Christiansen, J.H. Povlsen and K. Rottwitt,
"Ellipse rotation in a stochastic fiber", Proc. Euroconference
on Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications,
San Lorenzo de El Escorial, 25-30 September, 1996. World Scientific Singapore
London. L. Vazquez, L. Streit, and V.M. Perez-Garcia (Eds.) 345 (1996).
Sine-Gordon systems and fluxon-based superconducting electronic
components
- P.L. Christiansen, "A Bäcklund Transformation for the 3 +
1 Dimensional sine-Gordon Equation", Proceedings of the VIIIth International
Conference on Nonlinear Oscillations, Prague, Czechoslovakia, September
1978, Academia, Publishing House of the Czechoslovak Academy of Sciences,
Prague, 1, 349-354 (1979).
- P.L. Christiansen, "On Bäcklund Transformations and Solutions
to the 2+1 and 3+1-Dimensional Sine-Gordon Equation. Proceedings of the
Fourth Schreveningen Conference on Differential Equations, The Netherlands,
43- 62 (1979).
- P.L. Christiansen, "Sine-Gordon Solitons", '82 Scott Russell
Centenary Conference, held in Edinburgh, August 1982, 5 (1982).
- P.L. Christiansen, "Sine-Gordon Applications", International
Conference on Solitons in Real Systems, held in Nice and Cargèse,
France, June 1982, 54-56 (1982).
- P.L. Christiansen, "Sine-Gordon Solitons", Proceedings from
Second World Conference on Mathematics at the Service of Man, held at Canary
Islands, Spain, June-July 1982, 12-13 (1982).
- P.L. Christiansen, "Soliton Dynamic States in the Sine-Gordon
System", Wave Phenomena: Modern Theory and Applications (eds. C. Rogers
and T.B. Moodie), Elsevier Science Publ. B.V. North-Holland, 349-360 (1984).
- P.L. Christiansen, "Solitons and Chaotic Intermittency in the
Sine-Gordon System Modelling the Josephson Oscillator", Chaos in Nonlinear
Dynamical Systems (ed. J. Chandra), SIAM, Philadelphia, 74-85 (1984).
- P.L. Christiansen, "Solitons and Chaos in the Sine-Gordon System",
III International Symposium on Selected Topics in Statistical Mechanics,
Dubna, USSR, 1, 403-408 (1985).
- P.L. Christiansen, "Solitons and Chaos in the Sine-Gordon System",
Dynamical Problems in Soliton Systems (ed. S. Takeno) Springer, Berlin
258-261 (1985).
- M.P. Sørensen, R.D. Parmentier, P.L. Christiansen, O. Skovgaard,
B. Dueholm, E. Jørgensen, V.P. Koshelets, O.A. Levring, R. Monaco,
J. Mygind, N.F. Pedersen, and M.R. Samuelsen, "X-band Radiation from
Josephson junctions in Magnetic Fields" IEEE Trans. Magnetics MAG-21,
629-631 (1985).
- P.L. Christiansen, J. Mygind, S. Pagano, R.D. Parmentier, N.F. Pedersen,
M.R. Samuelsen, O. Skovgaard, and M.P. Sørensen, "Switching
between Dynamic States in Josephson Tunnel Junctions", Proceedings
from Excitations Non Linéaires, R.C.P. 759, Seminaires Université
de Dijon (1985).
- F. If, P.L. Christiansen, R.D. Parmentier, O. Skovgaard, and M.P. Sørensen,
"Numerical Studies of Fluxon Dynamics in Annular Josephson Junction
Oscillators" SQUID' 85 Proceedings 3rd International Conference on
Superconducting Quantum Devices, Berlin (West), June 1985, 465-469 (1985).
- S. Pagano, R.D. Parmentier, M.P. Sørensen, P.L. Christiansen,
O. Skovgaard, N.F. Pedersen, and J. Mygind, "Fluxon Oscillations in
Intermediate-Length Josephson Junctions", SQUID' 85 Proceedings 3rd
International Conference on Superconducting Quantum Devices, Berlin (West),
June 1985, 513-520 (1985)
- P.L. Christiansen, "Solitons and Chaos in a Physical System",
Atti del III Meeting "Waves and Stability in Continuous Media",
Bari, October 7-12, 1985 (eds. M. Maiellaro and L. Palese), 91-95 (1989).
- P.L. Christiansen, "Recent Work on Josephson Tunnel Junctions
Within MIDIT", "Structure, Coherence and Chaos in Dynamical Systems"
(eds. P.L. Christiansen and R.D. Parmentier), Manchester University Press,
93-112 (1989).
- P.L. Christiansen, "Stability of sine-Gordon Solitons", Proceedings
from Meeting IV "Waves and Stability in Continuous Media", Taormina,
Italy, October 5-10 1987 (eds. A. Donato and S. Giambo) 19-30, (1988).
- P.L. Christiansen and N.F. Pedersen, "Nonlinear Dynamics of the
Josephson Junction", Singular Behaviour and Nonlinear Dynamics, Proc.
of International Conf. on Singular Behaviour and Nonlinear Dynamics 2,
Samos, Greece 18-28 August 1988 (ed s. St. Pnevmatikos, T. Bountis and
Sp. Pnevmatikos) 539-554 (1989).
- M.G. Forest, E.A. Overman, P.L. Christiansen, N.Grønbech-Jensen, M.P.
Sørensen, R. Flesch, D.W. McLaughlin, R.D. Parmentier, and S. Pagano,
"Application of the Bäcklund-transformation in the sine-Gordon System"
Proc. NATO Advanced Workshop on Superconducting Devices and 2nd Workshop
on Josephson Devices, September 3-7, 1990, Capri, Italy pp. 403-413 (1991).
- T. Pavlopoulos, P.L. Christiansen, M.P.Sørensen, P. Spathis,
and N. Lazarides, "Numerical Study of Bifurcations in the BCS Gap
Equation", in Chaotic Dynamics: Theory and Practice, Proc. from
NATO ASI, Patras, Greece, July 11-20, 1991, (ed. T. Bountis). Plenum Press,
New York, 233-242 (1992).
- T. Pavlopoulos, N. Lazarides, P.L. Christiansen, M. P. Sørensen
and P. N. Spathis, "Nonlinearity in BCS models of high Tc-
superconductors".
"Future Directions of Nonlinear Dynamics in Physical and Biological
Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and Parmentier R.D.)
Plenum Pub. Corp. NATO ASI Series B, vol. 312, pp. 359-362 (1993).
- A. Petraglia, N.F. Pedersen and P.L. Christiansen, "Two dimensional
shorted arrays as a discretized version of the stacked junctions",
5th International Superconductive Electronics Conference, September 18-21,
1995, Nagoya Congress Center, Nagoya, Japan. 500-502 (1995).
Lattice dynamics and molecular dynamics
- B.M. Pierce, N. Østergård, and O. Faurskov Nielsen and
P.L. Christiansen, "Ab initio molecular orbital calculations of vibrational
spectroscopic properties of the linear formamide dimer" in "Spectroscopy
of Biological Molecules - State of the Art" (eds. A. Bertoluzza, C.
Fagnano, and P. Monti) Proc. from 3rd European Conf. on the Spectroscopy
of Biological Molecules, Rimini, Italy, Sept. 10-15, 1989, Societá editrice
Esculapio, Bologna, Italy, 277-279 (1989).
- P.L. Christiansen, "Energy Localization in Small Biomolecules"
in "Davydov's Soliton Revisited. Self-Trapping of Vibrational Energy
in Protein" (eds. P.L. Christiansen and A.C.Scott) NATO ASI Series
B: Physics. Vol. 243, 485-493, Plenum (1990).
- O. Bang and P.L. Christiansen, "A discrete selftrapping equation
model for Scheibe aggregates" Proceedings from 7th Interdisciplinary
Workshop in Nonlinear Coherent Structures in Physics and Biology, Dijon,
France, June 4-6, 1991, (eds. M. Remoissenet and M. Peyrard) Springer-Verlag,
126-131, (1991).
- M. F. Jørgensen and P.L. Christiansen, "On Compact and
Non-Compact Integrable Systems", Nonlinear Coherent Structures in
Physics and Biology, NATO ASI Series B: Physics Vol. 329. Spatchek K.H.;
Mertens, F.G. (Eds). Plenum Press, New York and London, 247-254 (1994).
- P.L. Christiansen, Yu.B. Gaididei, V.K. Mezentsev, S.L. Musher, K.Ø.
Rasmussen, J.Juul Rasmussen, I.V. Ryzhenkova, and S.K. Turitsyn, "Discrete
localized states and localization dynamics in discrete nonlinear Schrödinger
equations", Physica Scripta T67, 160-166 (1996).
- K.Ø. Rasmussen, P.L. Christiansen, M. Johansson, and Yu.B. Gaididei,
"Effects of noise on localized excitations in the discrete nonlinear
Schrödinger system", Proc. Estonian Acad. Sci. Phys. Math. 46,
111-117 (1997).
- P.L. Christiansen, M. Johansson, K.Ø. Rasmussen, Yu.B. Gaididei,
and I.I. Yakimenko, "White noise and nonlinear damping in the two-dimensional
model of energy transfer in molecular systems", Progress in Industrial
Mathematics at ECMI 96, B. G. Teubner, Stuttgart. M. Brøns,
M. P. Bendsøe, and M. P. Sørensen (Eds.) 208-216 (1997).
- P. L. Christiansen, G. I. Gaididei, Yu. B. Gaididei, M. Johansson,
S. F. Mingaleev, K. Ø. Rasmussen, "Effects of noise and nonlocal
interactions in nonlinear dynamics of molecular systems" Proceedings
of Europhysics Conference on Electronic Processes in
Organic Materials (ICEPOM '98), May 18-22, 1998, Kyiv, Ukraine.
Functional Materials 5, 315-318 (1998).
Biophysics and biomolecular dynamics
- J.H. Jensen, P.L. Christiansen, A.C. Scott, and O. Skovgaard, "Chaos
in Nerve" IASTED International Symposium Applied Control and Identification,
ACI '83 held in Lyngby, Denmark, June 28 - July 1, 1983.
- L. Cruzeiro, P.L. Christiansen, J. Halding, O. Skovgaard, and A.C.
Scott, "Temperature Stability of Davydov Solitons" "Chaos
in Biological Systems", (eds. H. Degn, A.V. Holden and L.F. Olsen),
Plenum Publishing Inc., 315-319 (1987).
- V. Muto, J. Halding, P.L. Christiansen, and A.C. Scott, "A Soliton
Model for Microwave Absorption in DNA" in "Biomedical Modelling
and Simulation" (eds. J. Eisenfeld and D.S. Levine), J.C. Baltzer
AG, Sci.Publ. 69-71 (1989).
- V. Muto, J. Halding, P.L. Christiansen, and A.C. Scott, "A Soliton
Model for Microwave Absorption in DNA", Numerical and Applied Mathematics,
W.F.Ames (Ed.) 119-122 (1989).
- V. Muto and A.C. Scott and P.L. Christiansen, "A Nonlinear Model
for DNA Dynamics" Proc. VII Int. Conf. on Math. and Computer Modelling,
Mathematical and Computer Modelling, 14 600-603 (1990).
- V. Muto, A.C. Scott, P.L. Christiansen, and P.S. Lomdahl, "Nonlinear
Discrete Models for DNA Dynamics" Proceedings from Meeting V "Waves
and Stability in Continuous Media", Sorrento, Italy, October 9-14,
1989, (ed. S. Rionero) Ser. Adv. Math. Appl. Sci. Vol. 4, World Scientific,
60-65 (1991).
- L. Cruzeiro-Hansson, P.L. Christiansen, and A.C. Scott, "Thermal
Stability of the Davydov Soliton" in "Davydov's Soliton Revisited.
Self- Trapping of Vibrational Energy in Protein" (eds. P.L. Christiansen
and A.C. Scott) NATO ASI Series B: Physics. Vol. 243, 325-335, Plenum
(1990).
- P.L. Christiansen, A.C. Scott, V. Muto, and P.S. Lomdahl, "A Toda
Lattice Model of DNA" Nonlinear and Chaotic Phenomena in Plasmas, Solids
and Fluids (eds. V. Rozmus and J.A. Tuszynski) Proc. CAP-NSERC Summer Institute
in Theoretical Physics, Edmonton, Alberta, Canada, July 16-27, 1990, 564-572,
World Scientific (1991).
- P.L. Christiansen, A.C. Scott, P.S. Lomdahl and V. Muto, "Denaturation
of DNA in a Toda Lattice Model" in Solitons and Chaos, (eds. I. Antoniou
and F.J. Lambert) Proc. of Solitons and Chaos, Springer-Verlag, 115-122,
(1991).
- P.L. Christiansen, Yu. B. Gaididei, V. Z. Enol'skii, and D. V. Leykin,
"The ultrasonic charge-density-waves and integrable many particle
Hénon-Heiles system" "Future Directions of Nonlinear Dynamics
in Physical and Biological Systems" (eds. P.L. Christiansen, Eilbeck,
J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312,
455-460 (1993).
- Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen, M. Johansson, and
K.Ø. Rasmussen, Effects of long-range dispersion in nonlinear dynamics
of DNA molecules", Proceedings of the Adriatico Conference Nonlinear
Cooperative Phenomena in Biological Systems, held August 19-22, 1997 in Trieste,
Italy, World Scientific, Singapore. L. Mattson (Ed.) 176-194 (1998)
.
Diffraction theory for electromagnetic waves and water waves
- P.L. Christiansen, "Scattering of Short Electromagnetic Waves
by a Circular Cylinder of Warm Enclosed Plasma", Electromagnetic Wave
Theory (ed. J. Brown), Proceedings of a Symposium held at Delft, The Netherlands,
September 1965, Pergamon Press, London, 2. 1041-1044 (1967).
- P.L. Christiansen, "Elementary Diffraction Coefficients in the
Geometrical Theory of Diffraction", Electromagnetic Wave Theory, Preprints
of International Symposium held at Tblisi, USSR, September 1971, "Nauka",
Moscow, 276-278 (1971).
- P.L. Christiansen, "Current Electromagnetic Research in Denmark",
1973 G-AP International Symposium, University of Colorado, Institute of
Electrical and Electronics Engineers, New York, 208-211 (1973).
- N.C. Albertsen and P.L. Christiansen, "Diffraction of creeping
waves by an edge". URSI symposium on Electromagnetic Wave Theory,
London, Symposium Digest, 114-116 (1974).
- P.L. Christiansen, "Diffraction of Gravity Waves by Large Islands",
Coastal Engineering, Proceedings of the 14th Coastal Engineering Conference,
Copenhagen, Denmark, June 1974, American Society of Civil Engineers, New
York 1, 601-614 (1975).
- J. Larsen and P.L. Christiansen, "Computations of Harbor Oscillations
by Ray Methods", Symposium on Modeling Techniques, 2nd Annual Symposium
of the Waterways, Harbors and Coastal Engineering Division of ASCE, San
Francisco, September 1975, American Society of Civil Engineers, New York,
2, 888-906 (1975).
- P.L. Christiansen, "Application of Ray Methods for Computation
of Water Waves on Bottom Profiles of Varying Depth and in Harbours",
Report from Symposium in Applied Mathematics, Dept. of Computer Sciences,
Chalmers University of Technology, Gothenburg, Sweden, 15 (1975).
Contributions to books
- P.L. Christiansen, "The Parabolic Cylinder", Electromagnetic and Acoustical
Scattering by Simple Shapes (eds. J.J. Bowman, T.B.A. Senior, and P.L.E.
Uslenghi), North-Holland Publishing Co., Amsterdam, 284-307 (1969).
- P.S. Lomdahl, O.H. Sørensen and P.L. Christiansen, "Excitations in
Josephson Tunnel Junctions", J. Chandra and A.C. Scott (eds.): Coupled
Nonlinear Oscillators, North-Holland Publ. Co., Math. Studies 80, 43-67 (1983).
- A.C. Scott and P.L. Christiansen, "The Classical Soliton Equations"
in A. C. Scott, "Nonlinear Science: Emergence and Dynamics of Coherent
Structures", with
contributions by P. L. Christiansen and M. P. Sørensen,
Oxford University Press (to appear).
- Yu. B. Gaididei, P. L. Christiansen, and S. F. Mingaleev,"Scale competition
in nonlinear Schrödinger models" (submitted).
- A. V. Zolotaryuk, A. V. Savin, and P. L. Christiansen,
"From the FPU chain to biomolecular dynamics" (submitted).
Lecture notes
- P.L. Christiansen, "An Introduction to the Geometrical Theory of
Diffraction", chapter 3 in Computer Techniques for Electromagnetics and
Antennas, Part I: Notes for a Short Course, Oct. 25-28, 1971, Danish
Engineering Society, Copenhagen, 39 pp. (1971).
- P.L. Christiansen, "Asymptotic Scattering Theory", Lecture notes,
Laboratory of Applied Mathematical Physics, The Technical University of
Denmark, 1-116 (1973). (In Danish).
- P.L. Christiansen, "Diffraction of Gravity Waves by Ray Methods",
Waves on Water of Variable Depth (eds. D.G. Provis and R. Radok), Lecture
notes in Physics 64, Australian Academy of Science, Canberra, and Springer-
Verlag, Berlin, 28-38 (1977).
- P.L. Christiansen, N.C. Albertsen and S. Christiansen,"Complex
Variables in Physics", Polyteknisk Forlag, Lyngby, Denmark, about 400
pp. (6th edition to appear 1998). (In Danish).
- P.L. Christiansen, "Canonical Problems and Diffraction Coefficients",
Theoretical Methods for Determining the Interaction of Electromagnetic Waves
with Structures (ed. J.K. Skwirzynski), NATO Advanced Study Institutes Series,
Series E: Applied Sciences No. 40, Sijthoff and Noordhoff, The Netherlands,
455-475 (1981).
- P.L. Christiansen, "On Bäcklund Transformations and Solutions to the 2+1
and 3+1-dimensional sine-Gordon Equation", Geometrical Approaches to
Differential Equations, Proceedings of the Fourth Schreveningen Conference
on Differential Equations, The Netherlands, August 26-31, 1979, Springer-
Verlag, 43-62 (1980).
- P.L. Christiansen, P.S. Lomdahl and V. Muto, "Toda Lattice with one
Transverse Degree of Freedom" in "Nonlinear Coherent Structures" Proceedings,
Montpellier, France 1989, Lecture Notes in Physics 353, Springer-Verlag,
Berlin, 93-100 (1990).
- P.L. Christiansen and N.F. Pedersen, "Nonlinear Dynamics on the Josephson
Junction", Lecture Notes on Superconductivity in Networks and Mesoscopic
Structures, Pontignano, Italy September 1997 (eds. G. Giovanella and
C. J. Lambert) American Institute of Physics Conference Proceedings 427,
AIP, New York, 3-30 (1998).
Miscellaneous scientific publications, reviews, films etc.
- P.L. Christiansen, "Solitoner", Fysisk Tidsskrift, 81, 97-125 (1983).
(In Danish).
- P.L. Christiansen, "Anvendelse af computer grafik", NEUCC NYT 157,
Tillæg TEMA: Grafik, 54-55 (1982). (In Danish).
- J.C. Eilbeck, P.S. Lomdahl, A.C. Scott, O. Skovgaard, O.H.Sørensen
and P.L. Christiansen, "Sine-Gordon Solitons", Computer film, 16 mm with
optical sound track, 14 minutes, colour with sound (1982).
- P.L. Christiansen, "Solitoner", invited contribution to Annual Report
from the Technical University of Denmark, 27-48 (1983). (In Danish).
- O. Skovgaard, F. If, L. MacNeil, and M.P. Sørensen and P.L.
Christiansen, "Brugererfaringer med vektorprocessor CRAY-1" NEUCC NYT
167, 26-27 (1983). (In Danish).
- O. Skovgaard and P.L. Christiansen, "Brugererfaringer i DTH's databar",
NEUCC NYT 174, 44-46 (1983). (In Danish).
- O. Skovgaard, P.L. Christiansen, and M.P. Sørensen, "Edb-grafik
ved LAMF p† DTH" Tema: Grafik, NEUCC, RECAU, RECKU, 125-129 (1984).
(In Danish).
- P.L. Christiansen, "Solitons". By P.G. Drazin. London Mathematical
Society Lecture Note Series, No. 85, Cambridge University Press, 1983",
J. Fluid Mech. 142, 467-468 (1984). Review.
- F. If, O. Skovgaard and P.L. Christiansen, "Brugererfaringer med EARN"
NEUCC NYT 189, 25-26 (1985). (In Danish).
- F. If, O. Skovgaard, P.L. Christiansen and S. Pagano, "Brugererfaringer
med Vektorprocessor CRAY X-MP" Kontakt Lyngby, Danmarks EDB-Center for
forskning og uddannelse, 2, 9-11 (1986). (In Danish).
- P.L. Christiansen, "Observations of Real Solitons", Nature, News and
Views, 332, 12-13 (1988).
- P.L. Christiansen, "Shocking Optical Solitons", Nature, News and
Views, 339, 17-18 (1989).
- M.P. Sørensen, P.L. Christiansen, T. Pavlopoulos, and N. Lazarides,
"Nonlinear Properties of the BCS Gap Equation" UNI-C Annual Report 1991,
25-27.
- M. P. Sørensen, N. Lazarides and P.L. Christiansen, "Multilayer High
Temperature Superconductors" UNI-C Annual Report 1992, 46-48.
- M.P. Sørensen, P.L. Christiansen, T. Geisler, K.A.Shore, J. Mørk
and J. Mark, "Supercomputing Models of Fiber Lasers", UNI.C Supercomputing
Annual Report 1993, 65-67.
- K.Ø. Rasmussen, P.L. Christiansen and M.P. Sørensen, "Biological
Thin Films". UNI-C Supercomputing Annual Report 1994, 62-64.
- P.L. Christiansen, "Collaboration with Bob Parmentier, 1980-1996",
Proceedings of Nonlinear Dynamics and the Josephson Effect in Honor of
Bob Parmentier, held September 5, 1997 in Salerno, Italy (presented).
- P.L. Christiansen, K.Ø. Rasmussen, and Yu. B. Gaididei,
"Bølgefænomener i natur og teknik",
Naturens Verden 146-151 (1998) (In Danish).
Scientific and technical reports
- P.L. Christiansen, "List of Z-Transforms", Laboratory of Electromagnetic
Theory, The Technical University of Denmark, R 32, 1-27 (1963).
- P.L. Christiansen, "Diffraction of a Creeping Wave by a Discontinuity
in the Surface Impedance of a Smooth Body", The University of Michigan
Radiation Laboratory, Technical Report 6677-7-T, 99-111 (1966). (Classified).
- P.L. Christiansen, "A Review of the Geometrical Theory of Diffraction",
in Methods of Evaluating the Influence of Spacecraft Structures on Antenna
Radiation Patterns, Part 1: A Literature Survey, Laboratory of Electromagnetic
Theory, The Technical University of Denmark, R 84, 38-41 (1970).
- P.L. Christiansen and Jesper Hansen, "Feasibility of Methods for
Structures Large Compared to the Wavelength", in Methods of Evaluating
the Influence of Spacecraft Structures on Antenna Radiation Patterns, Part
II: A Feasibility Study, ESRO-CR-51, European Space Research Organization,
Neuilly, France (1972).
- P.L. Christiansen "Source and Sink Factors and Diffraction Coefficients in the Geometrical
Theory of Diffraction" The Danish Center for Applied Mathematics and
Mechanics, Report No. 153, 1-28 (1978).
- P.L. Christiansen and P. S. Lomdahl "Numerical Study of 2+1 Dimensional
Sine-Gordon Solitons" The Danish Center for Applied Mathematics and
Mechanics, Report No. 198, 1-38 (1980).
- P.L. Christiansen and A. Cutolo, "On a Sine-Gordon Equation with a
Variable Coefficient" The Danish Center for Applied Mathematics and
Mechanics, Report No. 206, 1-9 (1981).
- P. L. Christiansen, R. D. Parmentier, and O. Skovgaard,
"Non-linear Wave Phenomena in Josephson Elements for Superconducting
Electronics", seven periodic and one final technical report
for contract # DAJA37-82-C-0057,
European Research Office of the U. S. Army, London, England 1982-1985
- P. L. Christiansen, R. D. Parmentier, and O. Skovgaard,
"Coherence and Chaos Phenomena in Josephson Oscillators for
Superconducting Electronics",
six periodic and one final technical report
for contract # DAJA45-85-C-0042,
European Research Office of the U. S. Army, London, England 1985-1989