Dynamical Problems in Soliton Systems: Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27–31, 1984

Front Matter....Pages I-XIII
Introduction....Pages 1-3
Front Matter....Pages 5-5
Some Aspects of Soliton Dynamics....Pages 6-11
Approximations for the Inverse Scattering Transform....Pages 12-22
Hamiltonian Structures of Soliton Equations via Constrained Variational Calculus....Pages 23-29
Perturbative Studies of the Zakharov-Shabat Scattering Problem....Pages 30-35
The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics....Pages 36-41
Fundamental Properties of the Binary Operators in Soliton Theory and Their Generalization....Pages 42-49
On an Exactly Solvable Nonlinear Diffusion Equation....Pages 50-54
Hirota’s Method and the Painlevé Property....Pages 55-61
A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis....Pages 62-66
Front Matter....Pages 67-67
Quantum Inverse Scattering Method....Pages 68-80
Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanics....Pages 81-88
Solitons in the Quantum Toda Lattice....Pages 89-92
Recent Progress in Quantum Inverse Scattering Method — Baxter Hierarchy and Its Applications....Pages 93-98
Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanics....Pages 99-104
Quantum and Classical Statistical Mechanics of the Non-Linear Schrödinger, Sinh-Gordon and Sine-Gordon Equations....Pages 105-114
Classical Statistical Mechanics of Integrable Systems....Pages 115-121
Correlation Functions of the Non-Ideal Gas of Sine-Gordon Solitons....Pages 122-127
Classical Solutions for the Grassmannian Sigma Models and Their Supersymmetric Versions....Pages 128-133
Einstein Equations, Non-Linear Sigma Models and Self-Dual Yang-Mills Theory....Pages 134-141
Front Matter....Pages 143-143
Soliton Resonance in Plasmas....Pages 144-152
Equilibrium Solutions in a Nonlinear Dispersive System with Instability and Damping....Pages 153-158
Exact Solutions of Two-Dimensional Vortex Systems in Statistical Equilibrium....Pages 159-163
Regular and Chaotic Motion of Two-Dimensional Point Vortices....Pages 164-170
Explode-Decay Solitons....Pages 171-174
Front Matter....Pages 175-175
A Field Theorist’s View of Conducting Polymers: Solitons in Polyacetylene and Related Systems....Pages 176-188
Soliton, Polaron, Phonons in Polyacetylene and Their Interactions....Pages 189-194
Soliton-like Excitations and Their Interactions in the Continuum Model of Polyacetylene....Pages 195-200
Lattice Relaxation Theory of Soliton and Polaron Generation in Polyacetylene....Pages 201-204
Breathers in the PPP Model of Polyacetylene....Pages 205-209
On the Nonlinear Excitations in One-Dimensional Uniaxial Anisotropic Heisenberg Ferromagnetic Spin Chain in External Magnetic Fields....Pages 210-216
Front Matter....Pages 217-217
Solitons and Excitons in Quasi-One-Dimensional Systems....Pages 218-223
Biological Solitons....Pages 224-235
Experiments for the Detection of Solitons in Biopolymers....Pages 236-241
Solitary Excitations in DNA Double Helices....Pages 242-247
Front Matter....Pages 249-249
Pattern Selection and Low-Dimensional Chaos in Systems of Coupled Nonlinear Oscillators....Pages 250-257
Solitons and Chaos in the Sine-Gordon System....Pages 258-261
Soliton Propagation Properties in a Josephson Transmission Line....Pages 262-267
A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation....Pages 268-271
Kinks and Spatially Complex Behavior in One-Dimensional Coupled Map Lattices....Pages 272-277
Back Matter....Pages 278-284