Compact Splitting Multisymplectic Scheme for the Coupled Nonlinear Schrodinger Equations on Unbounded Domains

摘要

In this paper we apply the compact splitting multisymplectic scheme for the the coupled nonlinear Schrodinger equations on unbounded domains and obtain a multisymplectic formulation with discrete charge conservation law. For unbounded domains we consider absorbing boundary conditions (ABCs) and discretize it by central difference scheme. Finally numerical experiments are presented to demonstrate the accuracy and conservation law, which are consistent with our theoretical analysis.