Lectures on integrable systems
By: Jens Hoppe.
Series: Lecture notes in physics.; m10
Publisher: Springer-Verlag
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 111
Subjects: Dynamics.; Mathematical physics.
Description: 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.
Notes: Includes bibliographical references.