中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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
DOI10.1142/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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