Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation | |
Hu, Xing-Biao; Yu, Guo-Fu | |
刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL |
2007-10-19 | |
卷号 | 40期号:42页码:12645-12659 |
ISSN号 | 1751-8113 |
DOI | 10.1088/1751-8113/40/42/S10 |
英文摘要 | In 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. |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | IOP PUBLISHING LTD |
WOS记录号 | WOS:000249864500011 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4586] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Hu, Xing-Biao |
作者单位 | 1.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 |
推荐引用方式 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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