High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations

doi:10.1016/j.camwa.2010.11.007

	High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations
	Ma, Yuanping 1; Kong, Linghua 1; Hong, Jialin2 ; Cao, Ying 1
	2011
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	61 期号:2 页码:319-333
摘要	In this paper, we develop a new kind of multisymplectic integrator for the coupled nonlinear Schrodinger (CNLS) equations. The CNLS equations are cast into multisymplectic formulation. Then it is split into a linear multisymplectic formulation and a nonlinear Hamiltonian system. The space of the linear subproblem is approximated by a high-order compact (HOC) method which is new in multisymplectic context. The nonlinear subproblem is integrated exactly. For splitting and approximation, we utilize an HOC-SMS integrator. Its stability and conservation laws are investigated in theory. Numerical results are presented to demonstrate the accuracy, conservation laws, and to simulate various solitons as well, for the HOC-SMS integrator. They are consistent with our theoretical analysis. (C) 2010 Elsevier Ltd. All rights reserved.
关键词	High-order compact Coupled nonlinear Schrodinger equation Splitting multisymplectic integrator Conservation law
DOI	10.1016/j.camwa.2010.11.007
语种	英语
资助项目	Innovation Foundation for Postgraduate of Jiangxi Normal University[YJS2010009] ; NNSFC[10901074] ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of Department of Education Jiangxi Province[GJJ09147] ; Foundation of Jiangxi Normal University[2057] ; Foundation of Jiangxi Normal University[2390] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Director Innovation Foundation of ICMSEC ; AMSS ; Foundation of CAS ; Special Funds for Major State Basic Research Projects of China[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287553400017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11753
专题	计算数学与科学工程计算研究所
通讯作者	Kong, Linghua
作者单位	1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ma, Yuanping,Kong, Linghua,Hong, Jialin,et al. High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2011,61(2):319-333.
APA	Ma, Yuanping,Kong, Linghua,Hong, Jialin,&Cao, Ying.(2011).High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,61(2),319-333.
MLA	Ma, Yuanping,et al."High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 61.2(2011):319-333.