A Dressing Method in Mathematical Physics

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

Buch | Softcover

383 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2007
Springer (Verlag)
978-90-481-7548-2 (ISBN)

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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.

Erscheint lt. Verlag	25.11.2010
Reihe/Serie	Mathematical Physics Studies ; 28
Zusatzinfo	XXIV, 383 p.
Verlagsort	Dordrecht
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	90-481-7548-8 / 9048175488
ISBN-13	978-90-481-7548-2 / 9789048175482
Zustand	Neuware