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

文献类型：期刊论文

作者Zhang, Y.1; Hu, X. B.1; Tam, H. W.2
刊名NUMERICAL ALGORITHMS
出版日期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
DOI10.1007/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
WOS记录号WOS:000358603300009
出版者SPRINGER
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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