Solitons: Differential equations, symmetries and infinite dimensional algebras (Cambridge Tracts in Mathematics) Book + PRICE WATCH * Amazon pricing is not included in price watch

Solitons: Differential equations, symmetries and infinite dimensional algebras (Cambridge Tracts in Mathematics) Book

The notion of solitons arose with the study of partial differential equations at the end of the 19th century. In more recent times their study has involved ideas from other areas of mathematics such as algebraic gometry, topology, and in particular infinite dimensional Lie algebras, and it this approach that is the main theme of this book.This book will be of great interest to all whose research interests involves the mathematics of solitons.Read More

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  • Product Description

    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.

  • 0521561612
  • 9780521561617
  • T. Miwa, M. Jimbo, E. Date
  • 2 December 1999
  • Cambridge University Press
  • Hardcover (Book)
  • 118
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