KMS Of Academy of mathematics and systems sciences, CAS
| One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction | |
| Alternative Title | One variant of a (2+ 1)-dimensional Volterra system and its (1+ 1)-dimensional reduction |
| Zhang Yingnan1; He Yi2; Tam HonWah3 | |
| 2013 | |
| Source Publication | FRONTIERS OF MATHEMATICS IN CHINA
 |
| ISSN | 1673-3452 |
| Volume | 8Issue:5Pages:1085-1097 |
| Abstract | 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. |
| Other Abstract | 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. |
| Keyword | SOLITON-SOLUTIONS EQUATIONS LATTICE Integrability soliton solution Backlund transformation (BT) nonlinear superposition formula |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [K. C. Wong Education Foundation, Hong Kong] ; [National Natural Science Foundation of China] ; [China Postdoctoral Science Foundation] ; [Hong Kong Research Grant Council] |
| CSCD ID | CSCD:4932577 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/54316 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.中国科学院大学 2.中国科学院数学与系统科学研究院 3.中国科学院 4.香港浸会大学 |
| Recommended Citation 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. |
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