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 |
| DOI | 10.1143/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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