COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE
文献类型:期刊论文
作者 | Li, Chun-Xia1; Zhao, Jun-Xiao2,3; Hu, Xing-Biao4![]() |
刊名 | JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
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出版日期 | 2009-06-01 |
卷号 | 16期号:2页码:169-178 |
关键词 | The coupled Leznov lattice Pfaffianization Backlund transformation Wronskian pfaffian |
ISSN号 | 1402-9251 |
DOI | 10.1142/S1402925109000169 |
英文摘要 | In this paper, we first obtain Wronskian solutions to the Backlund transformation of the Leznov lattice and then derive the coupled system for the Backlund transformation through Pfaffianization. It is shown the coupled system is nothing but the Backlund transformation for the coupled Leznov lattice introduced by J. Zhao etc. [ 1]. This implies that Pfaffianization and Backlund transformation is commutative for the Leznov lattice. Moreover, since the two-dimensional Toda lattice constitutes the Leznov lattice, it is obvious that the commutativity is also valid for it. |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000268448300006 |
出版者 | TAYLOR & FRANCIS LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8923] ![]() |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Li, Chun-Xia |
作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Sch Math Sci, Grad Univ, Beijing 100049, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 4.Acad Sinica, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100029, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Chun-Xia,Zhao, Jun-Xiao,Hu, Xing-Biao. COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,2009,16(2):169-178. |
APA | Li, Chun-Xia,Zhao, Jun-Xiao,&Hu, Xing-Biao.(2009).COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,16(2),169-178. |
MLA | Li, Chun-Xia,et al."COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE".JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 16.2(2009):169-178. |
入库方式: OAI收割
来源:数学与系统科学研究院
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