London Mathematical Society Lecture Note Series: Solitons Series Number 85
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London Mathematical Society Lecture Note Series: Solitons Series Number 85

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Description

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.
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Product details

  • Paperback | 148 pages
  • 152 x 228 x 9mm | 200g
  • Cambridge, United Kingdom
  • English
  • Worked examples or Exercises
  • 0521274222
  • 9780521274227

Table of contents

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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