中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs

文献类型:期刊论文

作者Tam, HW; Hu, XB
刊名JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
出版日期2003-02-01
卷号72期号:2页码:265-272
关键词integrable lattices soliton solutions Lax pairs
ISSN号0031-9015
DOI10.1143/JPSJ.72.265
英文摘要In this paper, a special integrable differential-difference equation and its related systems are studied. First of all, by using dependent variable transformations, this special lattice is transformed into two bilinear forms. As a result, the corresponding soliton solutions are obtained. A coupled set of bilinear equations is proposed and related to the same special lattice in a certain way. We also derive the t-flow and z-flow of the coupled bilinear equations. Lax pairs for the t-flow and the z-flow are given. Furthermore, a bilinear Backlund transformation and the corresponding nonlinear superposition formula for the coupled bilinear equations are presented. Soliton solutions to the coupled bilinear equations are derived.
WOS研究方向Physics
语种英语
WOS记录号WOS:000181068200016
出版者PHYSICAL SOC JAPAN
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/18379]  
专题计算数学与科学工程计算研究所
通讯作者Tam, HW
作者单位1.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Tam, HW,Hu, XB. A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2003,72(2):265-272.
APA Tam, HW,&Hu, XB.(2003).A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,72(2),265-272.
MLA Tam, HW,et al."A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72.2(2003):265-272.

入库方式: OAI收割

来源:数学与系统科学研究院

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