The Nonlinear Schrödinger Equation
Self-Focusing and Wave Collapse
Published on 14. March 2013
Book
Paperback/Softback
XVI, 350 pages
978-1-4757-7307-1 (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
Softcover reprint of the original 1st ed. 1999
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 350 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
563 gr
ISBN-13
978-1-4757-7307-1 (9781475773071)
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
06/1999
Springer
€160.49
Shipment within 5-7 days
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.