Soliton Equations and Hamilton Systems (Advanced Series in Mathematical Physics Vol 12)

Soliton Equations and Hamilton Systems (Advanced Series in Mathematical Physics Vol 12)

By: L.A. Dickey (author)Hardback

Up to 2 WeeksUsually despatched within 2 weeks

Description

The theory of soliton equations and integrable systems has developed rapidly over the past 20 years with applications in both mechanics and physics. A flood of papers followed a work by Gardner, Green, Kruskal and Mizura about the Korteweg-de Vries equation (KdV) which had seemend to be merely and unassuming equation of mathematical physics describing waves in shallow water.

Contents

Integrable systems generated by linear differential nth order operators; Hamiltonian structures; Hamiltonian structures of the KdV-hierarchies; the Kupershmidt-Wilson theorem; the KP-hierarchy; Hamiltonian structure of the KP-hierarchy; Baker function, tau-function; Grassmannian, tau-function and Baker function after Segal and Wilson. Algebraic-geometrical Krichever's solutions; matrix first-order operators; KdV-hierarchies as reductions of matrix hierarchies; stationary equations; stationary equations of the KdV-hierarchy in the narrow sense (n=2); stationary equations of the matrix hierarchy; stationary equations of the KdV-hierarchies; matrix differential operators polynomially depending on a parameter; multi-time Lagrangian and Hamiltonian formalism; further examples and applications.

Product Details

  • ISBN13: 9789810202156
  • Format: Hardback
  • Number Of Pages: 350
  • ID: 9789810202156
  • ISBN10: 9810202156

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close