Mathematics-Mathematicsematical Physics

Solitons: Differential equations, symmetries, and infinite-dimensional algebras

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Title (user) : Solitons: Differential equations, symmetries, and infinite-dimensional algebrasTitle (google) : Solitons Differential Equations, Symmetries and Infinite Dimensional AlgebrasISBN : 0521561612,9780521561617GoogleBook ID : kQDw1ZcqLjUCOpenLibrary ID : OL7746430...
Description

Title (user) : Solitons: Differential equations, symmetries, and infinite-dimensional algebras

Title (google) : Solitons Differential Equations, Symmetries and Infinite Dimensional Algebras

ISBN : 0521561612,9780521561617

GoogleBook ID : kQDw1ZcqLjUC

OpenLibrary ID : OL7746430M

Series : Cambridge Tracts in Mathematics

Authors (user) : T. Miwa, M. Jimbo, E. Date, Miles Reid

Authors (google) : T. Miwa,M. Jimbo,E. Date

Publisher : Cambridge University Press

Language : English

Publication Date : 2000

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
This book 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. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text 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 both novice and expert alike.


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Description (google) :
The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems.

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