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The Nonlinear Schroedinger Equation : Singular Solutions and Optical Collapse.
・ISBN 978-3-319-12747-7 hard EUR 89.99
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| 著者・編者 | Fibich, Gadi, |
|---|---|
| シリーズ | Applied Mathematical Sciences |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2015 |
| ページ数 | 862 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-24509> |
解説
This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schroedinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results.
The Nonlinear Schroedinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics.
Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University.
"This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field."
Frank Merle, Universite de Cergy-Pontoise and Institut des Hautes Etudes Scientifiques, France