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B�acklund transformations and their applications /
Ba?cklund transformations and their applications.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1982.
|
| Colección: | Mathematics in science and engineering ;
v. 161. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1982 nyua ob 001 0 eng d | ||
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| 050 | 4 | |a QA374 |b .R64 1982eb | |
| 072 | 7 | |a MAT |x 007020 |2 bisacsh | |
| 072 | 7 | |a GPF |2 bicssc | |
| 082 | 0 | 4 | |a 515.3/53 |2 22 |
| 100 | 1 | |a Rogers, C. | |
| 245 | 1 | 0 | |a B�acklund transformations and their applications / |c C. Rogers and W.F. Shadwick. |
| 260 | |a New York : |b Academic Press, |c 1982. | ||
| 300 | |a 1 online resource (xiii, 334 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 | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 161 | |
| 504 | |a Includes bibliographical references (pages 302-321) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a Ba?cklund transformations and their applications. | ||
| 505 | 0 | |a Front Cover; B�acklund Transformations and Their Applications; Copyright Page; Contents; Preface; Acknowledgments; General Introduction and Outline; CHAPTER 1. B�acklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics; 1.1 The Origin and Importance of B�acklund Transformations; 1.2 The 1 + 1 Sine-Gordon Equation. The Permutability Theorem. Bianchi Diagrams; 1.3 Ultrashort Optical Pulse Propagation in a Resonant Medium. 2Np Light Pulses | |
| 505 | 8 | |a 1.4 Propagation of Magnetic Flux through a Long Josephson Junction. An Elliptic Analog of the 1 + 1 Sine-Gordon Equation. Generation of Solutions via a B�acklund Transformation1.5 The Cole-Hopf Reduction of Burgers' Equation to the Heat Equation. Solution of Initial Value Problems; 1.6 Finite Amplitude Dispersive Waves and the Korteweg-deVries Equation; 1.7 The Wahlquist-Estabrook Invariant Transformation of the Korteweg-deVries Equation. The Soliton Ladder; 1.8 An Auto-B�acklund Transformation of the Modified Korteweg-deVries Equation. The Permutability Theorem and Generation of Solutions | |
| 505 | 8 | |a 1.9 The Miura Transformation1.10 A Nonlinear Schr�odinger Equation; 1.11 B�acklund Transformations and the AKNS System. An Invariant Transformation of the Cubic Schr�odinger Equation; 1.12 The Hirota Bilinear Operator Formulation of B�acklund Transformations. The Boussinesq Equation. Kaup's Higher Order Water Wave Equation; 1.13 B�acklund Transformations for Higher Order Korteweg-deVries Equations; 1.14 B�acklund Transformations in Higher Dimensions. The Sine-Gordon Equation in 3 + 1 Dimensions. The Kadomtsev-Petviashvili Equation. The Yang Equations | |
| 505 | 8 | |a 1.15 The Benjamin-Ono Equation for Internal Deep Water Waves. The Nakamura Transformation1.16 A B�acklund Transformation for Joseph's Equation for Internal Waves in a Stratified Fluid with Finite Depth; 1.17 B�acklund Transformations of Nonlinear Lattice Equations in Their Continuum Approximation. The Konno-Sanuki Transformation; 1.18 B�acklund Transformations of Nonlinear Differential-Difference Equations. The Toda and Associated Lattices; 1.19 B�acklund Transformations in General Relativity. The Ernst Equations. Neugebauer's Permutability Theorem | |
| 505 | 8 | |a CHAPTER 2. A Local Jet-Bundle Formulation of B�acklund Transformations2.1 Preliminaries; 2.2 Contact Structures; 2.3 Partial Differential Equations on Jet Bundles; 2.4 Fibered Products of Jet Bundles; 2.5 B�acklund Maps; 2.6 B�acklund Transformations Determined by B�acklund Maps; 2.7 Symmetries of Differential Equations and One-Parameter Families of B�acklund Maps; 2.8 The Wahlquist-Estabrook Procedure; CHAPTER 3. B�acklund Transformations in Gasdynamics, Nonlinear Heat Conduction, and Magnetogasdynamics; 3.1 The Reciprocal Relations and the Haar Transformation | |
| 546 | |a English. | ||
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 0 | |a B�acklund transformations. | |
| 650 | 0 | |a Jet bundles (Mathematics) | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Transformations de B�acklund. |0 (CaQQLa)201-0075684 | |
| 650 | 6 | |a �Equations aux d�eriv�ees partielles. |0 (CaQQLa)201-0012495 | |
| 650 | 6 | |a Physique math�ematique. |0 (CaQQLa)201-0008394 | |
| 650 | 6 | |a Fibr�es des jets (Math�ematiques) |0 (CaQQLa)201-0128867 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a B�acklund transformations. |2 fast |0 (OCoLC)fst00843274 | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Jet bundles (Mathematics) |2 fast |0 (OCoLC)fst00982395 | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
| 650 | 1 | 7 | |a Parti�ele differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Natuurkunde. |2 gtt |
| 650 | 1 | 7 | |a Toepassingen. |2 gtt |
| 650 | 1 | 7 | |a B�acklund transformaties. |2 gtt |
| 700 | 1 | |a Shadwick, W. F., |d 1951- | |
| 776 | 0 | 8 | |i Print version: |a Rogers, C. |t B�acklund transformations and their applications. |d New York : Academic Press, 1982 |z 9780125928502 |w (DLC) 81022783 |w (OCoLC)8051705 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 161. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780125928502 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=161 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/161 |z Texto completo |