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The Nonlinear Schr dinger Equation Book

The Nonlinear Schr dinger Equation
The Nonlinear Schr dinger Equation, 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 si, The Nonlinear Schr dinger Equation has a rating of 4 stars
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The Nonlinear Schr dinger Equation, 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 si, The Nonlinear Schr dinger Equation
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  • The Nonlinear Schr dinger Equation
  • Written by author Catherine Sulem
  • Published by Springer-Verlag New York, LLC, May 2009
  • 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 si
  • 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
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Book Categories

Authors

Preface
IBasic Framework1
1The Physical Context3
2Structural Properties27
IIRigorous Theory41
3Existence and Long-Time Behavior43
4Standing Wave Solutions71
5Blowup Solutions93
IIIAsymptotic Analysis near Collapse113
6Numerical Observations115
7Supercritical Collapse133
8Critical Collapse141
9Perturbations of Focusing NLS161
IVCoupling to a Mean Field187
10Mean Field Generation189
11Gravity-Capillary Surface Waves205
12The Davey-Stewartson System221
VCoupling to Acoustic Waves243
13Langmuir Oscillations245
14The Scalar Model263
15Progressive Waves in Plasmas287
Synopsis307
References309
Name Index339
Subject Index347


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The Nonlinear Schr dinger Equation, 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 si, The Nonlinear Schr dinger Equation

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The Nonlinear Schr dinger Equation, 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 si, The Nonlinear Schr dinger Equation

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