COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE

doi:10.1142/S1402925109000169

	COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE
	Li, Chun-Xia 1; Zhao, Jun-Xiao 2,3; Hu, Xing-Biao4
	2009-06-01
发表期刊	JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN	1402-9251
卷号	16 期号:2 页码:169-178
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.
关键词	The coupled Leznov lattice Pfaffianization Backlund transformation Wronskian pfaffian
DOI	10.1142/S1402925109000169
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000268448300006
出版者	TAYLOR & FRANCIS 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/8924
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.