Solitons
著者
書誌事項
Solitons
（London Mathematical Society lecture note series, 85）
Cambridge University Press, 1983
- : pbk
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注記
Bibliography: p. 128-132
Includes indexes
内容説明・目次
内容説明
A 'soliton' is a localized nonlinear wave of permanent form which may interact strongly with other solitons so that when they separate after the interaction they regain their original forms. 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. The essence of the book is an introduction to the method of inverse scattering. Solitary waves, cnoidal waves, conservation laws, the initial-value problem for the Korteweg-de Vries equation, the Lax method, the sine-Gordon equation and Backlund transformations are treated. The book will be useful for research workers who wish to learn about solitons as well as graduate students in mathematics, physics and engineering.
目次
- 1. The Korteweg-de Vries equation
- 2. Cnodial waves
- 3. Conservation laws
- 4. The initial-value problems for the Korteweg-de Vries equation
- 5. The lax method
- 6. The Sine-Gordon equation
- 7. Backlund transformations
- 8. Epilogue.
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