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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Doktorov, Evgeny V. (Author), Leble, Sergey B. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Mathematical Physics Studies, 28
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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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