Ebook: Basic methods of soliton theory

This collection of papers on the geometry and topology of submanifolds is taken from meetings held in honour of Professor S.S. Chern. Topics covered include: the classification of timelike Bonnet surfaces; parallel pure spinors on pseudo-Riemannian manifolds; harmonic maps; and more 1. Conservation Laws & Algebraic-Geometric Solutions. 1. Local conservation laws. 2. Generalized Lax equations. 3. Algebraic-geometric solutions of basic equations. 4. Algebraic-geometric solutions of Sin-Gordon, NS, etc. -- II. Backlund Transforms and Inverse Problem. 1. Backlund transformations. 2. Introduction to the scattering theory. 3. Applications of the inverse problem method