Hamiltonian methods in the theory of solitons

Hamiltonian methods in the theory of solitons

The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. The inv...

Descripción completa

Detalles Bibliográficos
Autor Corporativo: SpringerLink (Online service) (-)
Otros Autores: Faddeev, L. D., author (author), Takhtadzhi͡an, L. A. (Leon Armenovich), author (translator), Reyman, Alexey G., translator
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin ; Heidelberg : Springer 2007.
Edición:1st ed. 2007.
Colección:Classics in mathematics.
Materias:
Solitons.
Inverse scattering transform.
Hamiltonian systems.
Mathematical physics.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461492306719
Tabla de Contenidos:
  • The Nonlinear Schrödinger Equation (NS Model)
  • Zero Curvature Representation
  • The Riemann Problem
  • The Hamiltonian Formulation
  • General Theory of Integrable Evolution Equations
  • Basic Examples and Their General Properties
  • Fundamental Continuous Models
  • Fundamental Models on the Lattice
  • Lie-Algebraic Approach to the Classification and Analysis of Integrable Models
  • Conclusion
  • Conclusion. .

Ejemplares similares