A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms
文献类型：期刊论文
| 作者 | He, Yi1; Hu, Xing-Biao2; Tam, Hon-Wah3; Zhang, Ying-Nan4 |
| 刊名 | EUROPEAN JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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