Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation

doi:10.1088/1751-8113/40/10/012

	Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation
	Tang, Yifa; Cao, Jianwen ; Liu, Xiangtao ; Sun, Yuanchang
	2007-03-09
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	40 期号:10 页码:2425-2437
摘要	Using several kinds of coordinate transformations, we standardize the noncanonical symplectic structure of the Ablowitz - Ladik model ( A - L model) of nonlinear Schrodinger equation (NLSE), then we employ some symplectic scheme to simulate the solitons motion and test the evolution of the discrete invariants of the A - L model and also the conserved quantities of the original NLSE. In comparison with a higher order non-symplectic scheme applied directly to the A - L model, we show the overwhelming superiorities of the symplectic method. We also compare the implementation of the same symplectic scheme to different standardized Hamiltonian systems resulting from different coordinate transformations, and show that the symmetric coordinate transformation improves the numerical results obtained via the asymmetric one, in preserving the invariants of the A - L model and the original NLSE.
DOI	10.1088/1751-8113/40/10/012
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000245035200015
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5054
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Yifa
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, Yifa,Cao, Jianwen,Liu, Xiangtao,et al. Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2007,40(10):2425-2437.
APA	Tang, Yifa,Cao, Jianwen,Liu, Xiangtao,&Sun, Yuanchang.(2007).Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,40(10),2425-2437.
MLA	Tang, Yifa,et al."Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrodinger equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 40.10(2007):2425-2437.