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Catherine Sulem Pirre-Louis Sulem (eds.)
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دانلود کتاب The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse: Self-Focusing and Wave Collapse
by Catherine Sulem, Pirre-Louis Sulem (eds.)|
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عنوان فارسی: معادله غیرخطی شرودینگر: خود متمرکز و فروپاشی موج: خود تمرکز و فروپاشی موج |
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جزییات کتاب
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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