This volume provides an overview, by foremost experts, of the most important developments in soliton theory and the theory of integrable equations over the past ten to fifteen years. Numbered among the authors are many of the most prominent researchers in the field. It will be of interest to both mathematicians and physicists.

Inhalt
The Inverse Scattering Transform on the Line.- C-Integrable Nonlinear Partial Differential Equations.- Integrable Lattice Equations.- The Inverse Spectral Method on the Plane.- Dispersion Relations for Nonlinear Waves and the Schottky Problem.- The Isomonodromy Method and the Painlevé Equations.- The Cauchy Problem for Doubly Periodic Solutions of KP-H Equation.- Integrable Singular Integral Evolution Equations.- Long-Time Asymptotics for Integrable Nonlinear Wave Equations.- The Generation and Propagation of Oscillations in Dispersive Initial Value Problems and Their Limiting Behavior.- Differential Geometry Hydrodynamics of Soliton Lattices.- Bi-Hamiltonian Structures and Integrability.- On the Symmetries of Integrable Systems.- The n-Component KP Hierarchy and Representation Theory.- Compatible Brackets in Hamiltonian Mechanics.- Symmetries Test of Integrability.- Conservation and Scattering in Nonlinear Wave Systems.- The Quantum Correlation Function as the ? Function of Classical Differential Equations.- Lattice Models in Statistical Mechanics and Soliton Equations.- Elementary Introduction to Quantum Groups.- Knot Theory and Integrable Systems.- Solitons and Computation.- Symplectic Aspects of Some Eigenvalue Algorithms.- Whiskered Tori for NLS Equations.- Index of Contributors.