Difference schemes for solving the generalized nonlinear Schrodinger equation

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	Difference schemes for solving the generalized nonlinear Schrodinger equation
	Chang, QS ; Jia, EH ; Sun, W
	1999-01-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	148 期号:2 页码:397-415
摘要	This paper studies finite difference schemes for solving the generalized nonlinear Schrodinger (GNLS) equation iu(t) - u(x)x + q(\u\(2))u = f(x, t)u. A new linearlized Crank-Nicolson-type scheme is presented by applying an extrapolation technique to the real coefficient of the nonlinear term in the GNLS equation. Several schemes, including Crank-Nicolson-type schemes, Hopscotch-type schemes, split step Fourier scheme, and pseudospectral scheme, are adopted for solving three model problems of GNLS equation which arise from many physical problems. with q(s) = s(2), q(s)= In(1 + s), and q(s)= -4s/(1 + s), respectively. The numerical results demonstrate that the linearized Crank-Nicolson scheme is efficient and robust. (C) 1999 Academic Press.
关键词	difference schemes generalized Schrodinger equation linearized Crank-Nicolson scheme
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000078134300005
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14151
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, QS
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong
推荐引用方式 GB/T 7714	Chang, QS,Jia, EH,Sun, W. Difference schemes for solving the generalized nonlinear Schrodinger equation[J]. JOURNAL OF COMPUTATIONAL PHYSICS,1999,148(2):397-415.
APA	Chang, QS,Jia, EH,&Sun, W.(1999).Difference schemes for solving the generalized nonlinear Schrodinger equation.JOURNAL OF COMPUTATIONAL PHYSICS,148(2),397-415.
MLA	Chang, QS,et al."Difference schemes for solving the generalized nonlinear Schrodinger equation".JOURNAL OF COMPUTATIONAL PHYSICS 148.2(1999):397-415.