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商品詳細
Solitons : Differential Equations, Symmetries and Infinite Dimensional Algebras.
・ISBN 978-1-107-40419-9 paper GB£ 47.00
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| 著者・編者 | Miwa, T. / Jimbo, M. / Date, E., |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2012 |
| ページ数 | 120 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9139＞ |
解説
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.