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Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice
Hu, Xing-Biao2; Yu, Guo-Fu1
2009
Source PublicationJOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN1023-6198
Volume15Issue:3Pages:233-252
AbstractIn 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.
Keywordintegrable system integrable discretization Backlund transformation Lax pair
DOI10.1080/10236190802101695
Language英语
Funding ProjectNational Natural Science Foundation of China[10771207] ; Institute of Computational Math. ; AMSS ; State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000263445400003
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7111
Collection计算数学与科学工程计算研究所
Corresponding AuthorYu, Guo-Fu
Affiliation1.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
Recommended Citation
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.
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