| Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras Contributor(s): Miwa, T. (Author), Jimbo, M. (Author), Date, E. (Author) |
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ISBN: 1107404193 ISBN-13: 9781107404199 Publisher: Cambridge University Press OUR PRICE: $54.14 Product Type: Paperback Published: April 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General |
| Dewey: 515.353 |
| Series: Cambridge Tracts in Mathematics (Paperback) |
| Physical Information: 0.28" H x 6" W x 9" (0.41 lbs) 120 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |