A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms

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	A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms
	He, Yi 1; Hu, Xing-Biao 2; Tam, Hon-Wah 3; Zhang, Ying-Nan 4
刊名	EUROPEAN JOURNAL OF APPLIED MATHEMATICS
	2016-04-01
卷号	27 页码:194-212
关键词	multistep epsilon-algorithm G-transformation Lotka-Volterra equation Lattice Boussinesq equation
英文摘要	In this paper, we propose a new algebraic method to construct non-autonomous discrete integrable systems. The method starts from constructing generalizations of convergence acceleration algorithms related to discrete integrable systems. Then the non-autonomous version of the corresponding integrable systems are derived. The molecule solutions of the systems are also obtained. As an example of the application of the method, we propose a generalization of the multistep epsilon-algorithm, and then derive a non-autonomous discrete extended Lotka-Volterra equation. Since the convergence acceleration algorithm from the lattice Boussinesq equation is just a particular case of the multistep epsilon-algorithm, we have therefore arrived at a generalization of this algorithm. Finally, numerical experiments on the new algorithm are presented.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	LOTKA-VOLTERRA SYSTEM ; SELF-CONSISTENT SOURCES ; TODA MOLECULE EQUATION ; SHANKS TRANSFORMATION ; SOLITON-EQUATIONS ; EPSILON-ALGORITHM ; KP EQUATION ; PFAFFIANIZATION ; LATTICE ; HIERARCHIES
收录类别	SCI
语种	英语
WOS记录号	WOS:000371505300002
公开日期	2016-05-03
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9217]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China 4.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,et al. A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms[J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS,2016,27:194-212.
APA	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,&Zhang, Ying-Nan.(2016).A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms.EUROPEAN JOURNAL OF APPLIED MATHEMATICS,27,194-212.
MLA	He, Yi,et al."A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms".EUROPEAN JOURNAL OF APPLIED MATHEMATICS 27(2016):194-212.