A lattice Boltzmann model for the nonlinear Schrödinger equation

The lattice Boltzmann model for the nonlinear Schrodinger equation is proposed. The new model is based on the technique of the higher order moment of equilibrium distribution functions and a series of lattice Boltzmann equations in different time scales. The Euler equations are derived from the nonlinear Schrodinger equation by removing non-physical pressure. We have simulated two irrotational flows. These numerical results agree well with classical ones.