A Dressing Method in Mathematical Physics |
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| Author:
| Doktorov, Evgeny
Leble, Sergey |
| Series title: | Mathematical Physics Studies |
| ISBN: | 978-1-4020-6138-7 |
| Publication Date: | May 2007 |
| Publisher: | Springer Netherlands
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| Imprint: | Springer |
| Book Format: | Hardback |
| List Price: | USD $109.99 |
Book Description:
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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.
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.