Nonlinear waves, solitons and chaos
著者
書誌事項
Nonlinear waves, solitons and chaos
Cambridge University Press, 1990
- : hbk
- : pbk
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注記
Bibliography: p. 392-412
Includes indexes
内容説明・目次
内容説明
This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos. A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them. Examples of these are coherent entities like nonlinear waves and solitons, as well as the incoherent structures associated with chaos. The first part of the book is a self-contained introduction to general topics associated with nonlinear physics, and would be accessible to final-year undergraduates and beginning postgraduate students. The remainder of the book, for example the treatment of cylindrical solitons, is more advanced and will have a wide appeal to specialists in a number of branches of physics. Each chapter concludes with a set of problems. This very topical text could be used by students taking courses in nonlinear aspects of physics. In general, it will be of value to final-year undergraduates and beginning graduate students studying fluid dynamics, plasma physics and applied mathematics.
目次
- Foreword
- 1. Introduction
- 2. Linear waves and instabilities in infinite media
- 3. Convective and non-convective instabilities: group velocity in unstable media
- 4. A first look at surface waves and instabilities
- 5. Model equations for small amplitude waves and solitons: weakly nonlinear theory
- 6. Exact methods for fully nonlinear waves
- 7. Cartesian solitons in one and two space dimensions
- 8. Evolution and stability of initially one-dimensional waves and solitons
- 9. Cylindrical and spherical solitons in plasmas and other media
- 10. Non-coherent phenomena
- Appendices
- References
- Name index
- Subject index.
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