Cover of Evgeny V. Doktorov, Sergey B. Leble: Dressing Method in Mathematical Physics

Evgeny V. Doktorov, Sergey B. Leble Dressing Method in Mathematical Physics

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Springer Netherlands

2007

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978-1-4020-6140-0

1-4020-6140-4

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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.

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