LIE ALGEBRAS, GEOMETRY, AND TODA-TYPE SYSTEMS by Alexander V. Razumov, M.V. Saveliev, Peter Goddard ( 9780521479233 )

Item Details

Title:

LIE ALGEBRAS, GEOMETRY, AND TODA-TYPE SYSTEMS

By:

Alexander V. Razumov, M.V. Saveliev, Peter Goddard

Format:

Paperback

List price:

£40.99

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£35.87

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12.5% off

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£5.12

ISBN 10:

0521479231

ISBN 13:

9780521479233

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

15 May, 1997

Series:

Cambridge Lecture Notes in Physics No. 8

Pages:

268

Description:

The book describes integrable Toda type systems and their Lie algebra and differential geometry background.

Synopsis:

This book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many challenging problems in theoretical physics are related to the solution of nonlinear systems of partial differential equations. One of the most fruitful approaches in recent years has resulted from a merging of group algebraic and geometric techniques. The book gives a comprehensive introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on Lie algebra and differential geometry methods. The last chapter examines explicit solutions of the corresponding equations. The book is written in an accessible 'lecture note' style with many examples and exercises to illustrate key points and to reinforce understanding.

Illustrations:

1 b/w illus. 4 tables

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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