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The Nonlinear Schrödinger Equation

Self-Focusing and Wave Collapse

Specificaties
Gebonden, 350 blz. | Engels
Springer New York | 1999e druk, 1999
ISBN13: 9780387986111
Rubricering
Springer New York 1999e druk, 1999 9780387986111
Onderdeel van serie Applied Mathematical Sciences
Verwachte levertijd ongeveer 8 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9780387986111
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:350
Uitgever:Springer New York
Druk:1999

Inhoudsopgave

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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        The Nonlinear Schrödinger Equation