Druck auf Anfrage Neuware - Printed after ordering - Mainly drawing on explicit examples, the author introducesthe reader to themost recent techniques to study finite andinfinite dynamical systems. Without any knowledge ofdifferential geometry or lie groups theory the student canfollow in a series of case studies the most recentdevelopments. r-matrices for Calogero-Moser systems and Todalattices are derived. Lax pairs for nontrivial infinitedimensionalsystems are constructed as limits of classicalmatrix algebras. The reader will find explanations of theapproach to integrable field theories, to spectral transformmethods and to solitons. New methods are proposed, thushelping students not only to understand establishedtechniques but also to interest them in modern research ondynamical systems.

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Bibliographic Details

Title: Lectures on Integrable Systems
Publisher: Springer Berlin Heidelberg
Publication Date: 2014
Language: English
ISBN 10: 3662138824
ISBN 13: 9783662138823
Binding: Taschenbuch
Condition: Neu
Dimensions: 244 millimeters width by 170 millimeters height by 7 millimeters depth
Weight: 222 grams

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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.

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