One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction
文献类型：期刊论文
| 作者 | Zhang, Yingnan1,2; He, Yi3; Tam, Hon-Wah4 |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2013-10-01 |
| 卷号 | 8期号:5页码:1085-1097 |
| 关键词 | Integrability soliton solution Backlund transformation (BT) nonlinear superposition formula |
| 英文摘要 | A new system is generated from a multi-linear form of a (2+1)-dimensional Volterra system. Though the system is only partially integrable and needs additional conditions to possess two-soliton solutions, its (1+1)-dimensional reduction gives an integrable equation which has been studied via reduction skills. Here, we give this (1+1)-dimensional reduction a simple bilinear form, from which a Backlund transformation is derived and the corresponding nonlinear superposition formula is built. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SOLITON-SOLUTIONS ; EQUATIONS ; LATTICE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000323314300008 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/921]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 4.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Yingnan,He, Yi,Tam, Hon-Wah. One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction[J]. FRONTIERS OF MATHEMATICS IN CHINA,2013,8(5):1085-1097. |
| APA | Zhang, Yingnan,He, Yi,&Tam, Hon-Wah.(2013).One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction.FRONTIERS OF MATHEMATICS IN CHINA,8(5),1085-1097. |
| MLA | Zhang, Yingnan,et al."One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction".FRONTIERS OF MATHEMATICS IN CHINA 8.5(2013):1085-1097. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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