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Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation
Hu, Xing-Biao; Yu, Guo-Fu
2007-10-19
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN1751-8113
Volume40Issue:42Pages:12645-12659
AbstractIn this paper, we propose two semi-discrete equations and one fully discrete equation and study them by Hirota's bilinear method. These equations have continuum limits into a system which admits the (2+1)-dimensional generalization of the sinh-Gordon equation. As a result, two integrable semi-discrete versions and one fully discrete version for the sinh-Gordon equation are found. Backlund transformations, nonlinear superposition formulae, determinant solution and Lax pairs for these discrete versions are presented.
DOI10.1088/1751-8113/40/42/S10
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000249864500011
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4587
Collection计算数学与科学工程计算研究所
Corresponding AuthorHu, Xing-Biao
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
Recommended Citation
GB/T 7714		 Hu, Xing-Biao,Yu, Guo-Fu. Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2007,40(42):12645-12659.
APA Hu, Xing-Biao,&Yu, Guo-Fu.(2007).Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,40(42),12645-12659.
MLA Hu, Xing-Biao,et al."Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 40.42(2007):12645-12659.
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