New numerical methods for the coupled nonlinear Schrodinger equations

doi:10.1007/s10255-007-7098-2

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	New numerical methods for the coupled nonlinear Schrodinger equations
	Xu, Qiu-bin 1,2; Chang, Qian-shun 2
	2010-04-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	26 期号:2 页码:205-218
摘要	In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conservative properties of the schemes are obtained and the plane wave solution is analysised. The split step Runge-Kutta scheme is conditionally stable by linearized analyzed. The split step compact scheme and the split step spectral method are unconditionally stable. The trunction error of the schemes are discussed. The fusion of two solitions colliding with different beta is shown in the figures. The numerical experments demonstrate that our algorithms are effective and reliable.
关键词	Coupled nonlinear Schrodinger equation(CNLS) split step Runge-Kutta method compact scheme split step spectral method difference scheme
DOI	10.1007/s10255-007-7098-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000275746800003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9637
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Qiu-bin
作者单位	1.Nanjing Audit Univ, Dept Appl Math, Nanjing 211815, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Qiu-bin,Chang, Qian-shun. New numerical methods for the coupled nonlinear Schrodinger equations[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(2):205-218.
APA	Xu, Qiu-bin,&Chang, Qian-shun.(2010).New numerical methods for the coupled nonlinear Schrodinger equations.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(2),205-218.
MLA	Xu, Qiu-bin,et al."New numerical methods for the coupled nonlinear Schrodinger equations".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.2(2010):205-218.