Solitons : an introduction

P.G. Drazin, R.S. Johnson

This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites (i.e., partial differential equations, calculus of variations, Fourier integrals, linear waves and Sturm-Liouville theory), and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas, and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to the solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks.

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  • Preface
  • 1. The Kortewag-de Vries equation
  • 2. Elementary solutions of the Korteweg-de Vries equation
  • 3. The scattering and inverse scattering problems
  • 4. The initial-value problem for the Korteweg-de Vries equation
  • 5. Further properties of the Korteweg-de Vries equation
  • 6. More general inverse methods
  • 7. The Painleve property, perturbations and numerical methods
  • 8. Epilogue
  • Answers and hints
  • Bibliography and author index
  • Motion picture index
  • Subject index.

「Nielsen BookData」より


書名 Solitons : an introduction
著作者等 Drazin, P. G
Johnson, R. S.
Davis, S.H.
Hinch, E. J.
Iserles, A.
Ockendon, J.
Olver, P.J.
Ablowitz, Mark J.
シリーズ名 Cambridge texts in applied mathematics
出版元 Cambridge University Press
刊行年月 1989
版表示 2 Rev ed
ページ数 xii, 226 p.
大きさ 24 cm
ISBN 0521336554
NCID BA05132498
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言語 英語
出版国 イギリス