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.