A Dressing Method in Mathematical Physics

• Κύριοι συγγραφείς: Doktorov, Evgeny V. (Συγγραφέας), Leble, Sergey B. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2007.
• Σειρά: Mathematical Physics Studies ; 28
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.