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; He Yi3; Tam HonWah4 |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2013 |
| 卷号 | 8期号:5页码:1085-1097 |
| 关键词 | SOLITON-SOLUTIONS EQUATIONS LATTICE Integrability soliton solution Backlund transformation (BT) nonlinear superposition formula |
| ISSN号 | 1673-3452 |
| 其他题名 | One variant of a (2+ 1)-dimensional Volterra system and its (1+ 1)-dimensional reduction |
| 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. |
| 资助项目 | [K. C. Wong Education Foundation, Hong Kong] ; [National Natural Science Foundation of China] ; [China Postdoctoral Science Foundation] ; [Hong Kong Research Grant Council] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4932577 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54315]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院大学 2.香港浸会大学 3.中国科学院数学与系统科学研究院 4.中国科学院 |
| 推荐引用方式 GB/T 7714 | Zhang Yingnan,He Yi,Tam HonWah. 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 HonWah.(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：数学与系统科学研究院
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