Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term

doi:10.4208/cicp.2009.09.057

	Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term
	Hong, Jialin1 ; Kong, Linghua 2
	2010-03-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	7 期号:3 页码:613-630
摘要	The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplectic Fourier spectral (MSFS) methods will be employed to solve the fourth-order Schrodinger equations with trapped term. Using the idea of split-step numerical method and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-step multi-symplectic (SSMS) methods. The numerical experiments show that the proposed SSMS methods are more efficient than the conventional multi-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties.
关键词	Schrodinger equation with trapped term multi-symplectic scheme Fourier spectral method conservation law split-step method
DOI	10.4208/cicp.2009.09.057
语种	英语
资助项目	Director Innovation Foundation of ICMSEC ; AMSS ; Foundation of CAS ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Major State Basic Research Projects of China[2005CB321701] ; NSFC[10901074] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of Department of Education of Jiangxi Province[GJJ09147] ; Young Growth Foundation of Jiangxi Normal University[2390] ; Doctor Foundation of Jiangxi Normal University[2057]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000274090700011
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10124
专题	计算数学与科学工程计算研究所
通讯作者	Hong, Jialin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China 2.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Kong, Linghua. Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2010,7(3):613-630.
APA	Hong, Jialin,&Kong, Linghua.(2010).Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,7(3),613-630.
MLA	Hong, Jialin,et al."Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 7.3(2010):613-630.