The Nonlinear Schrödinger Equation
Self-Focusing and Wave Collapse
Published on 18. June 1999
Book
Hardback
XVI, 350 pages
978-0-387-98611-1 (ISBN)
Description
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.
More details
Series
Edition
1999 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XVI, 350 p.
Dimensions
Height: 241 mm
Width: 161 mm
Thickness: 22 mm
Weight
652 gr
ISBN-13
978-0-387-98611-1 (9780387986111)
DOI
10.1007/b98958
Schweitzer Classification
Other editions
Additional editions
Catherine Sulem | Pierre-Louis Sulem
The Nonlinear Schrödinger Equation
Self-Focusing and Wave Collapse
Book
03/2013
Springer
€160.49
Shipment within 15-20 days
Catherine Sulem | Pierre-Louis Sulem
The Nonlinear Schrödinger Equation
Self-Focusing and Wave Collapse
E-Book
06/2007
Springer
€149.79
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Content
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.