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Solitons

Differential Equations, Symmetries and Infinite Dimensional Algebras

T Miwa author M Jimbo author E Date author Miles Reid translator

Format:Hardback

Publisher:Cambridge University Press

Published:2nd Dec '99

Currently unavailable, and unfortunately no date known when it will be back

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Solitons cover

This 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems.This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara. This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike.

' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

ISBN: 9780521561617

Dimensions: 229mm x 152mm x 11mm

Weight: 350g

122 pages