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

文献类型：期刊论文

作者Ma, Yuanping1; Kong, Linghua1; Hong, Jialin2; Cao, Ying1
刊名COMPUTERS & MATHEMATICS WITH APPLICATIONS
出版日期2011
卷号61期号:2页码:319-333
关键词High-order compact Coupled nonlinear Schrodinger equation Splitting multisymplectic integrator Conservation law
ISSN号0898-1221
DOI10.1016/j.camwa.2010.11.007
英文摘要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.
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
语种英语
WOS记录号WOS:000287553400017
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11752]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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