Dynamical Problems in Soliton Systems

I Mathematical Theory of Solitons.- Some Aspects of Soliton Dynamics.- Approximations for the Inverse Scattering Transform.- Hamiltonian Structures of Soliton Equations via Constrained Variational Calculus.- Perturbative Studies of the Zakharov-Shabat Scattering Problem.- The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics.- Fundamental Properties of the Binary Operators in Soliton Theory and Their Generalization.- On an Exactly Solvable Nonlinear Diffusion Equation.- Hirota’s Method and the Painlevé Property.- A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis.- II Field Theory and Statistical Mechanics of Solitons.- Quantum Inverse Scattering Method.- Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanics.- Solitons in the Quantum Toda Lattice.- Recent Progress in Quantum Inverse Scattering Method — Baxter Hierarchy and Its Applications.- Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanics.- Quantum and Classical Statistical Mechanics of the Non-Linear Schrödinger, Sinh-Gordon and Sine-Gordon Equations.- Classical Statistical Mechanics of Ìntegrable Systems.- Correlation Functions of the Non-Ideal Gas of Sine-Gordon Solitons.- Classical Solutions for the Grassmannian Sigma Models and Their Supersymmetric Versions.- Einstein Equations, Non-Linear Sigma Models and Self-Dual Yang-Mills Theory.- III Solitons in Plasma Physics and Hydrodynamics.- Soliton Resonance in Plasmas.- Equilibrium Solutions in a Nonlinear Dispersive System with Instability and Damping.- Exact Solutions of Two-Dimensional Vortex Systems in Statistical Equilibrium.- Regular and Chaotic Motion of Two-Dimensional Point Vortices.- Explode-Decay Solitons.- IV Solitons in Condensed Matter Physics.- A Field Theorist’s View of Conducting Polymers: Solitons in Polyacetylene and Related Systems.- Soliton, Polaron, Phonons in Polyacetylene and Their Interactions.- Soliton-like Excitations and Their Interactions in the Continuum Model of Polyacetylene.- Lattice Relaxation Theory of Soliton and Polaron Generation in Polyacetylene.- Breathers in the PPP Model of Polyacetylene.- On the Nonlinear Excitations in One-Dimensional Uniaxial Anisotropic Heisenberg Ferromagnetic Spin Chain in External Magnetic Fields.- V Solitons in Biological Systems.- Solitons and Excitons in Quasi-One-Dimensional Systems.- Biological Solitons.- Experiments for the Detection of Solitons in Biopolymers.- Solitary Excitations in DNA Double Helices.- VI Solitons and Chaos.- Pattern Selection and Low-Dimensional Chaos in Systems of Coupled Nonlinear Oscillators.- Solitons and Chaos in the Sine-Gordon System.- Soliton Propagation Properties in a Josephson Transmission Line.- A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation.- Kinks and Spatially Complex Behavior in One-Dimensional Coupled Map Lattices.- Photograph of the Participants of the Seminar.- Index of Contributors.