Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice

doi:10.1080/10236190802101695

	Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice
	Hu, Xing-Biao2 ; Yu, Guo-Fu 1
	2009
发表期刊	JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN	1023-6198
卷号	15 期号:3 页码:233-252
摘要	In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully discrete version for the Leznov lattice are found. Backlund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented.
关键词	integrable system integrable discretization Backlund transformation Lax pair
DOI	10.1080/10236190802101695
语种	英语
资助项目	National Natural Science Foundation of China[10771207] ; Institute of Computational Math. ; AMSS ; State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000263445400003
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/7111
专题	计算数学与科学工程计算研究所
通讯作者	Yu, Guo-Fu
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Xing-Biao,Yu, Guo-Fu. Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS,2009,15(3):233-252.
APA	Hu, Xing-Biao,&Yu, Guo-Fu.(2009).Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS,15(3),233-252.
MLA	Hu, Xing-Biao,et al."Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice".JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 15.3(2009):233-252.