Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras - Rilegato

Miwa, T.; Jimbo, M.; Date, E.

Rilegato

ISBN 10: 0521561612 ISBN 13: 9780521561617

Casa editrice: Cambridge University Press, 1999

Riassunto

This book was first published in 1999 and investigates the high degree of symmetry that lies hidden in integrable systems.

Su questo libro

Descrizione del libro

This 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. 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.

Contenuti

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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0521561612
• ISBN 13: 9780521561617
• Rilegatura: Copertina rigida
• Numero di pagine: 122
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia