The nonlinear schrödinger equation [Documento electrónico] = singular solutions and optical collapse / Gadi Fibich : singular solutions and optical collapse
Language: eng.Country: US - United States of America.Publication: Cham : Springer international publishing, 2015Description: XXXI, 862 p. ISBN: 978-3-319-12748-4.Series: Applied mathematical sciencesSubject - Topical Name: 3647Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA374 FCT 96367 Stabilization of elastic systems by collocated feedback | QA374 FCT 96395 Sobolev spaces, their generalizations and elliptic problems in smooth and lipschitz domains | QA374 FCT 96507 Elliptic and parabolic equations | QA374 FCT 96637 The nonlinear schrödinger equation, singular solutions and optical collapse | QA374. FCT 96749 Mathematical analysis II | QA374. FCT 96790 Mathematical analysis I | QA374. FCT 97146 Equazioni a derivate parziali, metodi, modelli e applicazioni |
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This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger 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 Schrödinger 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, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France.
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