Titre: Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (Cambridge Tracts in Mathematics, Series Number 135)
�diteur: Cambridge University Press
Date de parution: 2000
Langue: anglais
ISBN � 10 chiffres: 0521561612
ISBN � 13 chiffres: 9780521561617
Reliure: Couverture rigide
�tat de l'article: New

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Synopsis

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.

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