Dynamical Problems in Soliton Systems

Inhaltsverzeichnis

• 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-DecaySolitons.
• 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.