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.
This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems.Reviews' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS
Book InformationISBN 9780521561617
Author T. MiwaFormat Hardback
Page Count 122
Imprint Cambridge University PressPublisher Cambridge University Press
Weight(grams) 350g
Dimensions(mm) 229mm * 152mm * 11mm