Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation

doi:10.1088/1751-8113/40/42/S10

	Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation
	Hu, Xing-Biao; Yu, Guo-Fu
	2007-10-19
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	40 期号:42 页码:12645-12659
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.
DOI	10.1088/1751-8113/40/42/S10
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000249864500011
出版者	IOP PUBLISHING 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/4587
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.