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Dressing Method in Mathematical Physics

Name: Dressing Method in Mathematical Physics
Brand: Springer-Verlag New York Inc.
SKU: 9781402061387
Price: 105.3 EUR
Availability: InStock

Автор: Evgeny V. Doktorov, Sergey B. Leble

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад

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105.30 € 205.95 лв

This monograph systematically develops and considers the so-called "dressing method" for solving dif...

Информация за книгата

Автор

Evgeny V. Doktorov, Sergey B. Leble

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2007

страници

383

EAN

9781402061387

ISBN

1402061382

Enbook ID

01417296

Издател

Springer-Verlag New York Inc.

Теглоt

781

Размери

155 x 235 x 28

Пълно описание

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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