Multi-symplectic wavelet splitting method for the strongly coupled Schrodinger system
钱旭, 陈亚铭, 高二, 宋松和 · 中国物理B：英文版 · 2012
We propose a multi-symplectic wavelet splitting method to solve the strongly coupled nonlinear Schrodinger equations.Based on its multi-symplectic formulation,the strongly coupled nonlinear Schr(o|¨)dinger equations can be split into one linear multi-symplectic subsystem and one nonlinear infinite-dimensional Hamiltonian subsystem.For the linear subsystem,the multi-symplectic wavelet collocation method and the symplectic Buler method are employed in spatial and temporal discretization,respectively.For the nonlinear subsystem,the mid-point symplectic scheme is used.Numerical simulations show the effectiveness of the proposed method during long-time numerical calculation.