Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method

doi:10.4208/cicp.180411.090112a

CORC > 自然资源部第一海洋研究所 > 自然资源部第一海洋研究所 > 业务部门 > 海洋环境与数值模拟研究室

	Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method
	Meng, Qing-Jiang 1; Yin, Li-Ping 2,3; Jin, Xiao-Qing 1; Qiao, Fang-Li 2,4
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2012-11
卷号	12 期号:5 页码:1392-1416
关键词	Coupled nonlinear Schrodinger equations orthogonal spline collocation method conservation law
ISSN号	1815-2406
DOI	10.4208/cicp.180411.090112a
英文摘要	In this paper, we present the use of the orthogonal spline collocation method for the semi-discretization scheme of the one-dimensional coupled nonlinear Schrodinger equations. This method uses the Hermite basis functions, by which physical quantities are approximated with their values and derivatives associated with Gaussian points. The convergence rate with order O(h(4) + tau(2)) and the stability of the scheme are proved. Conservation properties are shown in both theory and practice. Extensive numerical experiments are presented to validate the numerical study under consideration.
资助项目	Key National Natural Science Foundation of China[40730842]
WOS研究方向	Physics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000306806900005
内容类型	期刊论文
源URL	[http://ir.fio.com.cn/handle/2SI8HI0U/4051]
专题	业务部门_海洋环境与数值模拟研究室
作者单位	1.Univ Macau, Dept Math, Taipa, Peoples R China; 2.State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong, Peoples R China; 3.Ocean Univ China, Coll Phys & Environm Ocanog, Qingdao 266003, Shandong, Peoples R China; 4.State Ocean Adm, Key Lab Marine Sci & Numer Modeling, Qingdao 266061, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Meng, Qing-Jiang,Yin, Li-Ping,Jin, Xiao-Qing,et al. Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2012,12(5):1392-1416.
APA	Meng, Qing-Jiang,Yin, Li-Ping,Jin, Xiao-Qing,&Qiao, Fang-Li.(2012).Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,12(5),1392-1416.
MLA	Meng, Qing-Jiang,et al."Numerical Solutions of Coupled Nonlinear Schrodinger Equations by Orthogonal Spline Collocation Method".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 12.5(2012):1392-1416.