Solitons / P.G. Drazin.
This textbook is an account of the theory of solitons and of the diverse applications of the theory to nonlinear systems arising in the physical sciences.
Saved in:
| Online Access: |
Full Text (via Cambridge) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
1983.
|
| Series: | London Mathematical Society lecture note series ;
no. 85. |
| Subjects: |
MARC
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| 100 | 1 | |a Drazin, P. G. | |
| 245 | 1 | 0 | |a Solitons / |c P.G. Drazin. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 1983. | ||
| 300 | |a 1 online resource (148 pages) | ||
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 85 | |
| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 520 | |a This textbook is an account of the theory of solitons and of the diverse applications of the theory to nonlinear systems arising in the physical sciences. | ||
| 504 | |a Includes bibliographical references (pages 128-132). | ||
| 505 | 0 | |a Cover -- Title -- Copyright -- Contents -- Preface -- Chapter 1 TEE KORTEWEG-DE VRIES EQUATION -- 1. The discovery of solitary waves -- 2. Fundamental ideas -- 3. The discovery of soliton interactions -- 4. Applications of the KdV equation -- Problems -- CHAPTER 2 CNOIDAL WAVES -- 1. Wave solutions of the KdV solution -- 2. Solitary waves -- 3. General waves of permanent form -- 4. Description of waves in terms of elliptic functions -- 5. Infinitesimal waves -- 6. Solitary waves again -- Problems -- Chapter 3 CONSERVATION LAWS -- 1. Fundamental ideas. | |
| 505 | 8 | |a 2. Gardner's transformation -- Problems -- Chapter 4 THE INITIAL-VALUE PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION -- 1. The problem -- 2. Sketch of the method of inverse scattering -- 3. The scattering problem -- 4. The evolution equation -- 5. Solution of the scattering problem for t> 0 -- 6. The inverse scattering problem -- 7. Qualitative character of the solution -- 8. Example: the delta-function potential -- 9. Example: g(x) = -- 2sech2x -- 10. Example: g(x) = -- 6sech2x -- 11. Examples: sech-squared potentials -- 12. Examples: some numerical results. | |
| 505 | 8 | |a 13. Reflectionless potentials -- Chapter 5 THE LAX METHOD -- 1. Description of the method in terms of operators -- Problems -- Chapter 6 THE SINE-GORDON EQUATION -- 1. Introduction -- 2. Waves and solitons -- 3. Some other simple explicit solutions -- 4. The interaction of two solitons -- 5. A breather -- 6. The method of inverse scattering -- Problems -- Chapter 7 BACKLUND TRANSFORMATIONS -- 1. Introduction -- 2. The sine-Gordon equation -- 3. The KdV equation -- Problems -- 1. Epilogue. | |
| 505 | 8 | |a Appendix A DERIVATION OF THE INTEGRAL EQUATION FOR INVERSE SCATTERING -- Bibliography and author index -- Motion picture index -- Subject index. | |
| 650 | 0 | |a Solitons. | |
| 650 | 7 | |a Solitons. |2 fast |0 (OCoLC)fst01125558 | |
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| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 85. | |
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