T. Miwa: Solitons | Taschenbuch

Cover: 9781107404199 | Solitons | T. Miwa (u. a.) | Taschenbuch | Englisch | 2012

Rückseite: 9781107404199 | Solitons | T. Miwa (u. a.) | Taschenbuch | Englisch | 2012

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

Preface; 1. The KdV equation and its symmetries; 2. The KdV hierarchy; 3. The Hirota equation and vertex operators; 4. The calculus of Fermions; 5. The Boson-Fermion correspondence; 6. Transformation groups and tau functions; 7. The transformation group of the KdV equation; 8. Finite dimensional Grassmannians and Plücker relations; 9. Infinite dimensional Grassmannians; 10. The bilinear identity revisited; Solutions to exercises; Bibliography; Index.

Details

Erscheinungsjahr:	2012
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781107404199
ISBN-10:	1107404193
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Miwa, T. Jimbo, M. Date, E.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 7 mm
Von/Mit:	T. Miwa (u. a.)
Erscheinungsdatum:	05.01.2012
Gewicht:	0,187 kg