Blick ins Buch

A Dressing Method in Mathematical Physics

Evgeny V. Doktorov, Sergey B. Leble (Autoren)

Buch | Hardcover

383 Seiten

2007
Springer-Verlag New York Inc.
978-1-4020-6138-7 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions.

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.

Reihe/Serie	Mathematical Physics Studies ; 28
Zusatzinfo	XXIV, 383 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Optik
ISBN-10	1-4020-6138-2 / 1402061382
ISBN-13	978-1-4020-6138-7 / 9781402061387
Zustand	Neuware