A Noncommutative Version of the Nonlinear Schrodinger Equation
  We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrodinger equation. This induces a deformation of the latter equation to noncommutative space-time while preserving the existence of an infinite set of conserved quantities. 
Aristophanes Dimakis and Folkert Muller-Hoissen