Multi-symplectic wavelet splitting method for the strongly coupled Schrodinger system  

作　　者：钱旭 陈亚铭 高二 宋松和 

机构地区：[1]Department of Mathematics and Systems Science,College of Science,National University of Defense Technology [2]State Key Laboratory of High Performance Computing,National University of Defense Technology

出　　处：《Chinese Physics B》2012年第12期16-22,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.10971226,91130013,and 11001270);the National Basic Research Program of China(Grant No.2009CB723802);the Research Innovation Fund of Hunan Province,China (Grant No.CX2011B011);the Innovation Fund of National University of Defense Technology,China(Grant No.B120205)

摘　　要：We propose a multi-symplectic wavelet splitting equations. Based on its mu]ti-symplectic formulation, method to solve the strongly coupled nonlinear SchrSdinger the strongly coupled nonlinear SchrSdinger 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 Euler 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.We propose a multi-symplectic wavelet splitting equations. Based on its mu]ti-symplectic formulation, method to solve the strongly coupled nonlinear SchrSdinger the strongly coupled nonlinear SchrSdinger 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 Euler 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.

关 键 词：multi-symplectic wavelet splitting method symplectic Euler method strongly couplednonlinear SchrSdinger equations 

分 类 号：O241.8[理学—计算数学]