Solitons: Differential equations, symmetries, and infinite-dimensional algebras
T. Miwa, M. Jimbo, E. Date, Miles Reid
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.
カテゴリー:
年:
2000
出版社:
Cambridge University Press
言語:
english
ページ:
124
ISBN 10:
0521561612
ISBN 13:
9780521561617
シリーズ:
Cambridge Tracts in Mathematics
ファイル:
DJVU, 966 KB
IPFS:
,
english, 2000