Wave-Schrodinger systems

A wave-Schrodinger system is any coupled system of a nonlinear wave equation and a nonlinear Schrodinger equation. The main examples are:

• The Ishimori system
• The Maxwell-Schrodinger system
• The Yukawa-type system
• The Zakharov system (on R, on T, on R^2, or on R^3)
  • The magnetic Zakharov equation (formed by adding a magnetic field to the Zakharov system)
  • The Klein-Gordon-Zakharov system (formed by adding a mass to the Zakharov system)
• Zakharov-Schulman systems (including the Davey-Stewartson system as a special case)