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Książka Dressing Method in Mathematical Physics Evgeny V. Doktorov

Dressing Method in Mathematical Physics

Autor: Evgeny V. Doktorov, Sergey B. Leble
Język: Angielski
Oprawa: Twarda
Wydawca: Springer-Verlag New York Inc.
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
433.29 zł
This monograph systematically develops and considers the so-called "dressing method" for solving dif...

Informacje o książce

Autor
Evgeny V. Doktorov, Sergey B. Leble
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2007
strony
383
EAN
9781402061387
ISBN
1402061382
Enbook ID
01417296
Wydawca
Springer-Verlag New York Inc.
Waga
781
Wymiary
155 x 235 x 28

Pełny opis

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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