The Nonlinear Schrödinger Equation

Inhaltsverzeichnis

• 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.