Download A Dressing Method in Mathematical Physics: 28 (Mathematical by Evgeny V. Doktorov,Sergey B. Leble PDF

By Evgeny V. Doktorov,Sergey B. Leble

This monograph systematically develops and considers the so-called "dressing procedure" for fixing differential equations (both linear and nonlinear), a way to generate new non-trivial recommendations for a given equation from the (perhaps trivial) resolution of an analogous or similar equation. all through, the textual content exploits the "linear event" of presentation, with detailed cognizance given to the algebraic facets of the most mathematical structures and to functional principles of acquiring new solutions.

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