Solitons: an introduction
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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1989
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| Ausgabe: | Second edition. |
| Schriftenreihe: | Cambridge texts in applied mathematics
2 |
| Links: | https://doi.org/10.1017/CBO9781139172059 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 226 Seiten) |
| ISBN: | 9781139172059 |
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| 245 | 1 | 0 | |a Solitons |b an introduction |c P.G. Drazin, R.S. Johnson |
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| spelling | Drazin, P. G. Solitons an introduction P.G. Drazin, R.S. Johnson Second edition. Cambridge Cambridge University Press 1989 1 Online-Ressource (xii, 226 Seiten) txt c cr Cambridge texts in applied mathematics 2 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. Johnson, R. S. Erscheint auch als Druck-Ausgabe 9780521333894 Erscheint auch als Druck-Ausgabe 9780521336550 |
| spellingShingle | Drazin, P. G. Solitons an introduction |
| title | Solitons an introduction |
| title_auth | Solitons an introduction |
| title_exact_search | Solitons an introduction |
| title_full | Solitons an introduction P.G. Drazin, R.S. Johnson |
| title_fullStr | Solitons an introduction P.G. Drazin, R.S. Johnson |
| title_full_unstemmed | Solitons an introduction P.G. Drazin, R.S. Johnson |
| title_short | Solitons |
| title_sort | solitons an introduction |
| title_sub | an introduction |
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