Remarks on several 2+1 dimensional lattices

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	Remarks on several 2+1 dimensional lattices
	Tam, HW ; Hu, XB ; Qian, XM
	2002-02-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	43 期号:2 页码:1008-1017
摘要	In this paper, five 2+1 dimensional lattices considered by several authors are revisited again. First of all we will show that two lattices proposed by Blaszak and Szum [J. Math. Phys. 42, 225 (2001)] become the so-called differential-difference KP equation due to Date, Jimbo, and Miwa [J. Phys. Soc. Jpn. 51, 4116 (1982); 51, 4125 (1982); 52, 388 (1983); 52, 761 (1983); 52, 766 (1983)] by simple variable transformations, while another lattice found by Blaszak and Szum can be viewed as a higher-dimensional generalization of a lattice given by Wu and Hu [J. Phys. A 32, 1515 (1999)]. Some integrable properties on these three lattices are derived. Second, it is shown that a 2+1 dimensional Toda-like lattice studied by Cao, Geng, and Wu [J. Phys. A 32, 8059 (1999)] can be transformed into the bilinear equation given by Hu, Clarkson, and Bullough [J. Phys. A 30, L669 (1997)]. For this bilinear version we also present some rational solutions and Lie symmetries. Finally, a lattice due to Levi, Ragnisco, and Shabat [Can. J. Phys. 72, 439 (1994)] is transformed into coupled bilinear equations. It is shown that these coupled bilinear equations do not have two-soliton solutions. This further confirms that the lattice under consideration is not completely integrable. (C) 2002 American Institute of Physics.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000173316700018
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17945
专题	中国科学院数学与系统科学研究院
通讯作者	Tam, HW
作者单位	1.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Tam, HW,Hu, XB,Qian, XM. Remarks on several 2+1 dimensional lattices[J]. JOURNAL OF MATHEMATICAL PHYSICS,2002,43(2):1008-1017.
APA	Tam, HW,Hu, XB,&Qian, XM.(2002).Remarks on several 2+1 dimensional lattices.JOURNAL OF MATHEMATICAL PHYSICS,43(2),1008-1017.
MLA	Tam, HW,et al."Remarks on several 2+1 dimensional lattices".JOURNAL OF MATHEMATICAL PHYSICS 43.2(2002):1008-1017.