Abstract:

The lattice Boltzmann method was used to simulate the solitary waves of the coupled nonlinear Schrdinger equations. We constructed a lattice Boltzmann model for the coupled nonlinear Schrdinger equations, and conducted some numerical tests. The numerical results show that the lattice Boltzmann method is an effective method for simulating the solitary waves of the coupled nonlinear Schrdinger equations.

Key words: coupled nonlinear Schrdinger equations； , lattice Boltzmann method； solitary wave