Lectures on Integrable Systems

by Jens Hoppe, W. Beiglbock, Huzihiro Araki

Mainly drawing on explicit examples, the author introduces
the reader to themost recent techniques to study finite and
infinite dynamical systems. Without any knowledge of
differential geometry or lie groups theory the student can
follow in a series of case studies the most recent
developments. r-matrices for Calogero-Moser systems and Toda
lattices are derived. Lax pairs for nontrivial infinite
dimensionalsystems are constructed as limits of classical
matrix algebras. The reader will find explanations of the
approach to integrable field theories, to spectral transform
methods and to solitons. New methods are proposed, thus
helping students not only to understand established
techniques but also to interest them in modern research on
dynamical systems.

110 pages, Hardcover

First published July 28, 1992