Description

Book Synopsis
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.

Trade Review
' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

Table of Contents
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.

Solitons

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    A Hardback by T. Miwa, M. Jimbo, E. Date

    £74.99

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      Book details

      Publisher Cambridge University Press
      Published 12 February 1999
      ISBN-13 9780521561617
      978-0521561617
      ISBN-10 0521561612
      Also in:
      Algebra Differential calculus and equations

      Description

      Book Synopsis
      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.

      Trade Review
      ' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

      Table of Contents
      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.

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