中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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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