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The inverse scattering transformation and the theory of solitons : an introduction /
The Inverse Scattering Transformation and The Theory of Solitons.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier North-Holland,
�1981.
|
| Colección: | North-Holland mathematics studies ;
50. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1981 ne ob 001 0 eng d | ||
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| 072 | 7 | |a SCI |x 040000 |2 bisacsh | |
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| 082 | 0 | 4 | |a 515.3/53 |2 22 |
| 100 | 1 | |a Eckhaus, Wiktor. | |
| 245 | 1 | 4 | |a The inverse scattering transformation and the theory of solitons : |b an introduction / |c Wiktor Eckhaus, Aart van Harten. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York : |b Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, |c �1981. | ||
| 300 | |a 1 online resource (xi, 222 pages) : |b graph | ||
| 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 North-Holland mathematics studies ; |v 50 | |
| 504 | |a Includes bibliographical references (pages 217-222) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; The Inverse Scattering Transformation and The Theory of Solitons; Copyright Page; TABLE OF CONTENTS; PREFACE; CHAPTER 1. THE KORTEWEG-DE VRIES EQUATION; 1.1. Historical introduction; 1.2. Elementary properties; 1.3. The soliton behaviour; 1.4. The initial value problem, Existence and uniqueness of solutions; 1.5. Miura's transformation and the modified; CHAPTER 2. SOLUTION BY THE METHOD OF GARDNER-GREEN-KRUSKAL- MIURA. THE INVERSE SCATTERING TRANSFORMATION; 2.1. The scattering problem for the Sch�Odinger equation on the line | |
| 505 | 8 | |a 2.2. Invariance of the spectrum for potentials satisfying the K.D.V. equation2.3. Evolution of the scattering data; 2.4. Summary and discussion of the method of solution by the inverse scattering transformation; 2.5. The pure N-soliton solution; 2.6. The pure 2-soliton solution: an exercise; 2.7. Relation between soliton speed and eigenvalues; 2.8. The emergence of solitons from arbitrary initial conditions; CHAPTER 3. ISOSPECTRAL POTENTIALS. THE LAX APPROACH; 3.1. The invariance of discrete eigenvalues by an elementary approach; 3.2. The invariance of the spectrum | |
| 505 | 8 | |a 3.3. Isospectral potentials for the Schr�Odinger equation3.4. Isospectral potentials for more general selfadjoint operators; 3.5. An alternative approach; CHAPTER 4. DIRECT AND INVERSE SCATTERING FOR THE SCHR�ODINGER'S EQUATION; 4.1. Solutions and scattering data of Schr�odinger's equation; 4.2. Properties of solutions; 4.3. The spectrum of -- d2/DX2 + u on L2(m); 4.4. Fourier transform of the solutions; 4.5. Inverse scattering; 4.6. Concluding remarks; CHAPTER 5. DIRECT AND INVERSE SCATTERING FOR THE GENERATED ZAKHAROV-SHABAT SYSTEM | |
| 505 | 8 | |a 5.1. Solutions and scattering coefficients of the generalized Zakharov-Shabat system5.2. Properties of solutions; 5.3. The spectrum of (100-1)(d/dx=Q) ON L2(IR)2; 5.4. Fourier transform of solutions; 5.5. Inverse scattering; CHAPTER 6. APPLICATIONS OF THE INVERSE SCATTERING; 6.1. The nonlinear Schr�Odinger equation; 6.2. Isospectral potentials for nondegenerate first order system using an alternative approach; 6.3. Some evolution equations for isospectral potentials by ad hoc prosedures; 6.4. The general AKNS evolution equations | |
| 505 | 8 | |a 6.5. Degenerate first order scattering systems and the sine-Gordon equation6.6. Higher order scattering systems; CHAPTER 7. PERTURBATIONS; 7.1. Introduction and general formulation; 7.2. Evolution of the Scattering data in the case of the Schr�odinger equation; 7.3. Evolution of the scattering data in the case of the generalized Zakharov-Shabat problem; 7.4. Perturbation analysis; REFERENCES | |
| 520 | |a The Inverse Scattering Transformation and The Theory of Solitons. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Scattering (Physics) | |
| 650 | 0 | |a Solitons. | |
| 650 | 0 | |a Inverse scattering transform. | |
| 650 | 0 | |a Diffusion. | |
| 650 | 2 | |a Diffusion |0 (DNLM)D004058 | |
| 650 | 6 | |a Solitons. |0 (CaQQLa)201-0078162 | |
| 650 | 6 | |a Diffusion (Physique) |0 (CaQQLa)201-0008656 | |
| 650 | 6 | |a Diffusion (Physique nucl�eaire) |0 (CaQQLa)201-0022450 | |
| 650 | 6 | |a Probl�eme inverse de diffusion. |0 (CaQQLa)201-0148441 | |
| 650 | 7 | |a diffusion. |2 aat |0 (CStmoGRI)aat300053756 | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Diffusion |2 fast |0 (OCoLC)fst00893534 | |
| 650 | 7 | |a Inverse scattering transform |2 fast |0 (OCoLC)fst00978100 | |
| 650 | 7 | |a Scattering (Physics) |2 fast |0 (OCoLC)fst01106581 | |
| 650 | 7 | |a Solitons |2 fast |0 (OCoLC)fst01125558 | |
| 650 | 1 | 7 | |a Transformaties (wiskunde) |2 gtt |
| 650 | 1 | 7 | |a Solitons. |2 gtt |
| 700 | 1 | |a Harten, Aart van, |d 1949- | |
| 776 | 0 | 8 | |i Print version: |a Eckhaus, Wiktor. |t Inverse scattering transformation and the theory of solitons. |d Amsterdam ; New York : North-Holland ; New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, �1981 |z 0444861661 |z 9780444861665 |w (DLC) 81001861 |w (OCoLC)7274942 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 50. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444861665 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=50 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/50 |z Texto completo |