The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Self-Focusing and Wave Collapse /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Sulem, Catherine (Editor), Sulem, Pirre-Louis (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1999.
• Series: Applied Mathematical Sciences, 139
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Fluids.; Analysis.; Fluid- and Aerodynamics.

Table of Contents:

• 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.