A Course on Nonlinear Waves
The aim of this book is to give a self-contained introduction to the mathe matical analysis and physical explanations of some basic nonlinear wave phe nomena. This volume grew out of lecture notes for graduate courf;!es which I gave at the University of Alberta, the University of Saskatchewan, ·an...
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1993, 1993
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| Edition: | 1st ed. 1993 |
| Series: | Nonlinear Topics in the Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Asymptotic Expansion
- 2 Hyperbolic Waves
- 3 Water Waves
- 4 Scattering and Inverse Scattering
- 5 Burgers Equation
- 6 Forced KdV Equation
- 7 Sine-Gordon and Nonlinear Schrödinger
- 8 Selected Examples of Flow Instabilities
- 9 Wave Interactions and X-Ray Crystallography
- Appendix A KdV Solitons via Inverse Scattering
- Appendix B KdV Solitons via Bäckluand Transform
- B.1 Bäcklund Transform Program
- B.2 Two Solitons
- B.3 Three Solitons
- B.4 Four Solitons
- B.5 Five Solitons
- B.6 Six Solitons
- B.7 Seven Solitons
- Appendix C Derivation of the Stationary KdV.