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Nonlinear Schrödinger Equation

Self-Focusing and Wave Collapse

AvCatherine Sulem,Pierre-Louis Sulem

Häftad, Engelska, 2013

Del i serien Applied Mathematical Sciences

1 626 kr

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Beskrivning

This monograph reviews in detail significant results concerning the phenomena of wave collapse, as described by the NLS equation, or its generalization when couplings to additional fields driven by the wave modulation are relevant. Several approaches, ranging from rigorous mathematical analysis to formal asymptotics expansions and numerical simulations are presented.

Produktinformation

Utgivningsdatum:2013-03-14
Mått:155 x 235 x 21 mm
Vikt:563 g
Format:Häftad
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:350
Förlag:Springer-Verlag New York Inc.
ISBN:9781475773071

Utforska kategorier

Innehållsförteckning

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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