Discrete and continuous nonlinear Schrödinger systems:
In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the as...
Gespeichert in:
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | London Mathematical Society lecture note series
302 |
| Links: | https://doi.org/10.1017/CBO9780511546709 |
| Zusammenfassung: | In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature. |
| Umfang: | 1 Online-Ressource (ix, 257 Seiten) |
| ISBN: | 9780511546709 |
Internformat
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| 490 | 1 | |a London Mathematical Society lecture note series |v 302 | |
| 520 | |a In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature. | ||
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| spelling | Ablowitz, Mark J. Discrete and continuous nonlinear Schrödinger systems M.J. Ablowitz, B. Prinari, A.D. Trubatch Discrete & Continuous Nonlinear Schrödinger Systems Cambridge Cambridge University Press 2004 1 Online-Ressource (ix, 257 Seiten) txt c cr London Mathematical Society lecture note series 302 In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature. Prinari, B. 1972- Trubatch, A. D. 1968- Erscheint auch als Druck-Ausgabe 9780521534376 |
| spellingShingle | Ablowitz, Mark J. Discrete and continuous nonlinear Schrödinger systems |
| title | Discrete and continuous nonlinear Schrödinger systems |
| title_alt | Discrete & Continuous Nonlinear Schrödinger Systems |
| title_auth | Discrete and continuous nonlinear Schrödinger systems |
| title_exact_search | Discrete and continuous nonlinear Schrödinger systems |
| title_full | Discrete and continuous nonlinear Schrödinger systems M.J. Ablowitz, B. Prinari, A.D. Trubatch |
| title_fullStr | Discrete and continuous nonlinear Schrödinger systems M.J. Ablowitz, B. Prinari, A.D. Trubatch |
| title_full_unstemmed | Discrete and continuous nonlinear Schrödinger systems M.J. Ablowitz, B. Prinari, A.D. Trubatch |
| title_short | Discrete and continuous nonlinear Schrödinger systems |
| title_sort | discrete and continuous nonlinear schrodinger systems |
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