| eBook ISBN: | 978-1-4704-0142-9 |
| Product Code: | MEMO/118/563.E |
| List Price: | $41.00 |
| MAA Member Price: | $36.90 |
| AMS Member Price: | $24.60 |
| eBook ISBN: | 978-1-4704-0142-9 |
| Product Code: | MEMO/118/563.E |
| List Price: | $41.00 |
| MAA Member Price: | $36.90 |
| AMS Member Price: | $24.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 118; 1996; 88 ppMSC: Primary 35; Secondary 34; 58
Using commutation methods, the authors present a general formalism to construct Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) \(N\)-soliton solutions relative to arbitrary (m)KdV background solutions. As an illustration of these techniques, the authors combine them with algebro-geometric methods and Hirota's \(\tau\)-function approach to systematically derive the (m)KdV \(N\)-soliton solutions on quasi-periodic finite-gap backgrounds.
ReadershipGraduate students, research mathematicians, and theoretical physicists interested in soliton mathematics.
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Table of Contents
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Chapters
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1. Introduction
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2. Quasi-periodic finite-gap (m)KdV-solutions
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3. (m)KdV-soliton solutions on quasi-periodic finite-gap backgrounds. I. The single commutation method
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4. (m)KdV-soliton solutions on quasi-periodic finite-gap backgrounds. II. The double commutation method
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Appendix A
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Appendix B
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Appendix C
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Appendix D
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Appendix E
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Using commutation methods, the authors present a general formalism to construct Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) \(N\)-soliton solutions relative to arbitrary (m)KdV background solutions. As an illustration of these techniques, the authors combine them with algebro-geometric methods and Hirota's \(\tau\)-function approach to systematically derive the (m)KdV \(N\)-soliton solutions on quasi-periodic finite-gap backgrounds.
Graduate students, research mathematicians, and theoretical physicists interested in soliton mathematics.
-
Chapters
-
1. Introduction
-
2. Quasi-periodic finite-gap (m)KdV-solutions
-
3. (m)KdV-soliton solutions on quasi-periodic finite-gap backgrounds. I. The single commutation method
-
4. (m)KdV-soliton solutions on quasi-periodic finite-gap backgrounds. II. The double commutation method
-
Appendix A
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Appendix B
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Appendix C
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Appendix D
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Appendix E
