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The Nonlinear Schrödinger Equation: Self-focusing and Wave Collapse PDF

369 Pages·1999·6.398 MB·English
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by Catherine Sulem, Pierre-Louis Sulem| 1999| 369 pages| 6.398| English

About The Nonlinear Schrödinger Equation: Self-focusing and Wave Collapse

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.

Detailed Information

Author:Catherine Sulem, Pierre-Louis Sulem
Publication Year:1999
ISBN:9780387986111
Pages:369
Language:English
File Size:6.398
Format:PDF
Price:FREE
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