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

doi:10.1080/10236190802101695

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice
	Hu, Xing-Biao2 ; Yu, Guo-Fu 1
刊名	JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
	2009
卷号	15 期号:3 页码:233-252
关键词	integrable system integrable discretization Backlund transformation Lax pair
ISSN号	1023-6198
DOI	10.1080/10236190802101695
英文摘要	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.
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
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000263445400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/7110]
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.