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Kniha Dressing Method in Mathematical Physics Evgeny V. Doktorov

Dressing Method in Mathematical Physics

Autor: Evgeny V. Doktorov, Sergey B. Leble
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer-Verlag New York Inc.
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
2 567 Kč
This monograph systematically develops and considers the so-called "dressing method" for solving dif...

Informace o knize

Autor
Evgeny V. Doktorov, Sergey B. Leble
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2007
Stránek
383
EAN
9781402061387
ISBN
1402061382
Enbook ID
01417296
Vydavatel
Springer-Verlag New York Inc.
Hmotnost
781
Rozměry
155 x 235 x 28

Kompletní popis

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. The primary topics of the dressing method covered here are: the Moutard and Darboux transformations discovered in XIX century as applied to linear equations; the Bäcklund transformation in differential geometry of surfaces; the factorization method; and the Riemann-Hilbert problem in the form proposed by Shabat and Zakharov for soliton equations, plus its extension in terms of the d-bar formalism. 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. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods.

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