The Nonlinear Schrodinger Equation : Singular Solutions and Optical Collapse / Gadi Fibich.

"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 s...

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Bibliographic Details
Main Author: Fibich, Gadi
Language:English
Published: New York : Springer Verlag, [2015], ©2015.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 192.
Subjects:
Physical Description:xxxi, 862 pages : illustrations ; 25 cm.
Format: Book

MARC

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504 |a Includes bibliographical references (pages 847-858) and index. 
520 |a "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."--Publisher's website. 
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