Solitons : differential equations, symmetries, and infinite dimensional algebras

Solitons : differential equations, symmetries, and infinite dimensional algebras /

"The goal of this book is to investigate 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 d...

Full description

Saved in:
Bibliographic Details
Main Author: Miwa, T. (Tetsuji)
Other Authors: Jimbo, M. (Michio), Date, E. (Etsuro)
Format: Book
Language:English
Japanese
Published: Cambridge : Cambridge University Press, 2000.
Series:Cambridge tracts in mathematics 135.
Subjects:
Solitons > Mathematics.
Korteweg-de Vries equation
Evolution equations, Nonlinear
Table of Contents:
  • 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 Plucker relations
  • 9. Infinite dimensional Grassmannians
  • 10. The bilinear identity revisited.

Similar Items