Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method

doi:10.1007/s11075-014-9928-7

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method
	Zhang, Y.1; Hu, X. B.1 ; Tam, H. W.2
刊名	NUMERICAL ALGORITHMS
	2015-08-01
卷号	69 期号:4 页码:839-862
关键词	NLS equation Integrable discretization Infinite conservation quantities Fourier pseudo-spectral method
ISSN号	1017-1398
DOI	10.1007/s11075-014-9928-7
英文摘要	A new integrable discretization of the nonlinear SchrAodinger (NLS) equation is presented. Different from the one given by Ablowitz and Ladik, we discretize the time variable in this paper. The new discrete system converges to the NLS equation when we take a standard limit and has the same scattering operator as the original NLS equation. This indicates that both the new system and the NLS equation possess the same set of infinite conservation quantities. By applying the Fourier pseudo-spectral method to the space variable, we calculate the first five conservation quantities at different times. The numerical results indeed verify the conservation properties.
资助项目	Hong Kong Research Grant Council[HKBU202512] ; National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11371251]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000358603300009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20433]
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Y.
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China 2.Hong Kong Baptist Univ, Dept Comp Sci, Hongkong, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Y.,Hu, X. B.,Tam, H. W.. Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method[J]. NUMERICAL ALGORITHMS,2015,69(4):839-862.
APA	Zhang, Y.,Hu, X. B.,&Tam, H. W..(2015).Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method.NUMERICAL ALGORITHMS,69(4),839-862.
MLA	Zhang, Y.,et al."Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method".NUMERICAL ALGORITHMS 69.4(2015):839-862.