The nonlinear Schrödinger equation : self-focusing and wave collapse
Author(s)
Bibliographic Information
The nonlinear Schrödinger equation : self-focusing and wave collapse
（Applied mathematical sciences, v. 139）
Springer, c1999
Available at / 69 libraries
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Science and Technology Library, Kyushu University
: alk. paper023211999004803,
421.5/Su 55003212000011767 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: alk. paperSUL||7||199034241
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: alk. paper530.124/SU512070476438
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Note
Includes bibliographical references (p. [309]-338) and indexes
Description and Table of Contents
Description
Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.
Table of Contents
Basic Framework.- The Physical Context.- Structural Properties.- Rigorous Theory.- Existence and Long-Time Behavior.- Standing Wave Solutions.- Blowup Solutions.- Asymptotic Analysis near Collapse.- Numerical Observations.- Supercritical Collapse.- Critical Collapse.- Perturbations of Focusing NLS.- Coupling to a Mean Field.- Mean Field Generation.- Gravity-Capillary Surface Waves.- The Davey-Stewartson System.- Coupling to Acoustic Waves.- Langmuir Oscillations.- The Scalar Model.- Progressive Waves in Plasmas.
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