Partitioned Average Vector Field Method for Nonlinear Schrodinger Equation

Abstract

In this work, partitioned average vector field method (PAVF) is derived for nonlinear Schrodinger equation (NLS) and strongly coupled Schrodinger equation (SCNLS). The NLS and the SCNLS is discretized in space by finite difference and is solved in time by PAVF method. Numerical results compare with the AVF method. The results indicate that PAVF method are more effective to preserve global energy.