A Dressing Method in Mathematical Physics

The monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new non-trivial solutions of a given equation fr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Doktorov, Evgeny V. (Autor), Leble, Sergey B. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Mathematical Physics Studies, 28
Temas:
Electrodynamics.
Engineering mathematics.
Engineering-Data processing.
Mathematics.
Mathematical physics.
Nonassociative rings.
Functions of complex variables.
Classical Electrodynamics.
Mathematical and Computational Engineering Applications.
Applications of Mathematics.
Mathematical Methods in Physics.
Non-associative Rings and Algebras.
Functions of a Complex Variable.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Mathematical preliminaries
  • Factorization and classical Darboux transformations
  • From elementary to twofold elementary Darboux transformation
  • Dressing chain equations
  • Dressing in 2+1 dimensions
  • Applications of dressing to linear problems
  • Important links
  • Dressing via local Riemann-Hilbert problem
  • Dressing via nonlocal Riemann-Hilbert problem
  • Generating solutions via ? problem.

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