A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations

作     者：Chuchu Chen Jialin Hong Lihai Ji Linghua Kong 

作者机构：Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China Institute of Applied Physics and ComputationalMathematicsBeijing 100094China School of Mathematics and Information ScienceJiangxi Normal UniversityNanchangJiangxi 330022China 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2017年第21卷第1期

页      面：93-125页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：This work was supported by the National Natural Science Foundation of China(Nos.91530118,91130003,11021101,11290142,11471310,11601032,11301234,11271171) the Provincial Natural Science Foundation of Jiangxi(Nos.20142BCB23009,20161ACB20006,20151BAB201012) 

主　　题：Coupled stochastic nonlinear Schrodinger equations compact scheme stochastic multi-symplectic conservation law energy evolution law charge conservation law soliton evolution soliton interaction 

摘      要：In this paper,we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger *** prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation law,discrete charge conservation law and discrete energy evolution law almost *** experiments confirm well the theoretical analysis ***,we present a detailed numerical investigation of the optical phenomena based on the compact *** numerical experiments for various amplitudes of noise,we find that the noise accelerates the oscillation of the soliton and leads to the decay of the solution amplitudes with respect to *** particular,if the noise is relatively strong,the soliton will be totally ***,we observe that the phase shift is sensibly modified by the ***,the numerical results present inelastic interaction which is different from the deterministic case.