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

doi:10.1007/s11075-014-9928-7

	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
	2015-08-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	69 期号:4 页码:839-862
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.
关键词	NLS equation Integrable discretization Infinite conservation quantities Fourier pseudo-spectral method
DOI	10.1007/s11075-014-9928-7
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000358603300009
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20434
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.