Basic methods of soliton theory /

In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cherednik, Ivan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, ©1996.
Colección:Advanced series in mathematical physics ; v. 25.
Temas:
Solitons > Mathematics.
Differential equations, Nonlinear > Numerical solutions.
Geometry, Algebraic.
Solitons > Mathématiques.
Équations différentielles non linéaires > Solutions numériques.
Géométrie algébrique.
MATHEMATICS > Differential Equations > Partial.
Soliton
Solitons.
Physique mathématique.
Équations différentielles.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Conservation Laws & Algebraic-Geometric Solutions. 1. Local conservation laws. 2. Generalized Lax equations. 3. Algebraic-geometric solutions of basic equations. 4. Algebraic-geometric solutions of Sin-Gordon, NS, etc.
  • II. Backlund Transforms and Inverse Problem. 1. Backlund transformations. 2. Introduction to the scattering theory. 3. Applications of the inverse problem method.

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