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Bäcklund and Darboux transformations : geometry and modern applications in soliton theory /
"This book describes the connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors explore the body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2002.
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| Colección: | Cambridge texts in applied mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 072 | 7 | |a SCI |x 067000 |2 bisacsh | |
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| 082 | 0 | 4 | |a 530.124 |2 22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Rogers, C. | |
| 245 | 1 | 0 | |a Bäcklund and Darboux transformations : |b geometry and modern applications in soliton theory / |c C. Rogers, W.K. Schief. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2002. | ||
| 300 | |a 1 online resource (xvii, 413 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Cambridge texts in applied mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a "This book describes the connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors explore the body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gauss-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Backlund-Darboux transformations." "This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physicists."--Jacket | ||
| 505 | 0 | 0 | |g Machine generated contents note: |g 1. |t Pseudospherical Surfaces and the Classical Backlund Transformation. The Bianchi System -- |g 1.1. |t Gauss-Weingarten Equations for Hyperbolic Surfaces. Pseudospherical Surfaces. The Sine-Gordon Equation -- |g 1.2. |t Classical Backlund Transformation for the Sine-Gordon Equation -- |g 1.3. |t Bianchi's Permutability Theorem. Generation of Multi-Soliton Solutions -- |g 1.4. |t Pseudospherical Soliton Surfaces. Breathers -- |g 1.5. |t Parallel Surfaces. Induced Backlund Transformation for a Class of Weingarten Surfaces -- |g 1.6. |t Bianchi System. Its Auto-Backlund Transformation -- |g 2. |t Motion of Curves and Surfaces. Soliton Connections -- |g 2.1. |t Motions of Curves of Constant Torsion or Curvature. The Sine-Gordon Connection -- |g 2.2. |t 2 x 2 Linear Representation for the Sine-Gordon Equation -- |g 2.3. |t Motion of Pseudospherical Surfaces. A Weingarten System and Its Backlund Transformation -- |g 2.4. |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Solitons. | |
| 650 | 0 | |a Bäcklund transformations. | |
| 650 | 0 | |a Darboux transformations. | |
| 650 | 6 | |a Solitons. | |
| 650 | 6 | |a Transformations de Bäcklund. | |
| 650 | 6 | |a Transformations de Darboux. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a Bäcklund transformations |2 fast | |
| 650 | 7 | |a Darboux transformations |2 fast | |
| 650 | 7 | |a Solitons |2 fast | |
| 700 | 1 | |a Schief, W. K. |q (Wolfgang Karl), |d 1964- | |
| 776 | 0 | 8 | |i Print version: |a Rogers, C. |t Bäcklund and Darboux transformations. |d Cambridge ; New York : Cambridge University Press, 2002 |z 052181331X |z 0521012880 |w (DLC) 2001043453 |w (OCoLC)47805071 |
| 830 | 0 | |a Cambridge texts in applied mathematics. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=78357 |z Texto completo |
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