ENGLISH

The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse: Self-Focusing and Wave Collapse

By Catherine Sulem , Pirre-Louis Sulem (eds.)

Book information

Publisher
Springer-Verlag New York
Year
1999
ISBN
978-0-387-98611-1, 978-0-387-22768-9
DOI
10.1007/b98958
Language
english
Format
PDF
Filesize
4 MB (4509048 bytes)
Series
Applied Mathematical Sciences 139
Edition
1
Pages
350\362
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis;Fluids

Description

This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for small scale formation and wave dissipation. This results in a localized heating of the medium and in the case of propagation in a dielectric to possible degradation of the material. For this purpose, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations.

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