Solitons

I Introduction.- Inaugural Address — The Dynamics of Dynamics.- “The Wave” “Par Excellence”, the Solitary Progressive Great Wave of Equilibrium of the Fluid: An Early History of the Solitary Wave (With 8 Figures).- II Mathematical Theory: IST, Symmetries, Singularity Structure and Integrability.- Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions.- Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions.- Gauge Unification of Integrable Nonlinear Systems (With 3 Figures).- Prolongation Structure in One and Two Dimensions.- Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systems.- Painlevé Analysis and Integrability Aspects of Nonlinear Evolution Equations.- Generalised Burgers Equations and Connection Problems for Euler-Painlevé Transcendents.- Bäcklund Transformations and Soliton Wave Functions.- Comparison of Some Numerical Schemes for the K-dV Equation.- K-dV Like Equations with Domain Wall Solutions and Their Hamiltonians.- III Lattice Solitons.- Lattice Solitons and Nonlinear Diatomic Models.- Recent Results in Toda Lattice.- Construction of Exact Invariants for One- and Two-Dimensional Classical Systems.- Nonlinear Chains and Kink-Impurity Interactions.- IV Statistical Mechanics and Quantum Aspects.- Quantum Solitons: An Overview.- Soliton Statistical Mechanics: Statistical Mechanics of the Quantum and Classical Integrable Models.- Exactly Solvable Models in Statistical Mechanics (With 12 Figures).- V Applications: Physics and Biology.- Solitons and Some Other Special Solutions in Field Theory.- Solitary Waves of the “2-Dimensional Ferromagnet”.- Soliton Propagation in Optical Fibres (With 2 Figures).- Davydov’s Soliton.- Generalized Nonlinear Schrödinger Equations in Quantum Fluid Dynamics.- Index of Contributors.