A Dressing Method in Mathematical Physics

• Main Authors: Doktorov, Evgeny V. (Author), Leble, Sergey B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2007.
• Series: Mathematical Physics Studies ; 28
• Subjects: Physics.; Nonassociative rings.; Rings (Algebra).; Functions of complex variables.; Applied mathematics.; Engineering mathematics.; Optics.; Electrodynamics.; Optics and Electrodynamics.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Mathematical Methods in Physics.; Non-associative Rings and Algebras.; Functions of a Complex Variable.

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...