Solitons : an introduction
Author(s)
Bibliographic Information
Solitons : an introduction
(Cambridge texts in applied mathematics)
Cambridge University Press, 1989
- : hard
- : pbk.
Available at / 77 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardDRA||3||388089171
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
hardDC19:515.3/D7992070110231
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Note
Includes bibliographies and indexes
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"