A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations

doi:10.4208/cicp.300815.180416a

	A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations
	Chen, Chuchu1 ; Hong, Jialin1 ; Ji, Lihai 2; Kong, Linghua 3
	2017
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	21 期号:1 页码:93-125
摘要	In this paper, we propose a compact scheme to numerically study the coupled stochastic nonlinear Schrodinger equations. We prove that the compact scheme preserves the discrete stochastic multi-symplectic conservation law, discrete charge conservation law and discrete energy evolution law almost surely. Numerical experiments confirm well the theoretical analysis results. Furthermore, we present a detailed numerical investigation of the optical phenomena based on the compact scheme. By 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 time. In particular, if the noise is relatively strong, the soliton will be totally destroyed. Meanwhile, we observe that the phase shift is sensibly modified by the noise. Moreover, the numerical results present inelastic interaction which is different from the deterministic case.
关键词	Coupled stochastic nonlinear Schrodinger equations compact scheme stochastic multi-symplectic conservation law energy evolution law charge conservation law soliton evolution soliton interaction
DOI	10.4208/cicp.300815.180416a
语种	英语
资助项目	National Natural Science Foundation of China[91530118] ; National Natural Science Foundation of China[91130003] ; National Natural Science Foundation of China[11021101] ; National Natural Science Foundation of China[11290142] ; National Natural Science Foundation of China[11471310] ; National Natural Science Foundation of China[11601032] ; National Natural Science Foundation of China[11301234] ; National Natural Science Foundation of China[11271171] ; Provincial Natural Science Foundation of Jiangxi[20142BCB23009] ; Provincial Natural Science Foundation of Jiangxi[20161ACB20006] ; Provincial Natural Science Foundation of Jiangxi[20151BAB201012]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000390196800005
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24375
专题	计算数学与科学工程计算研究所
通讯作者	Ji, Lihai
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chuchu,Hong, Jialin,Ji, Lihai,et al. A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,21(1):93-125.
APA	Chen, Chuchu,Hong, Jialin,Ji, Lihai,&Kong, Linghua.(2017).A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,21(1),93-125.
MLA	Chen, Chuchu,et al."A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 21.1(2017):93-125.