Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
| The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3+1 Dimensional Jimbo-Miwa Equation | |
| Yang, Hongwei1; Zhang, Yong1; Zhang, Xiaoen1; Chen, Xin1; Xu, Zhenhua2,3 | |
| 2016 | |
| Source Publication | ADVANCES IN MATHEMATICAL PHYSICS
 |
| Subtype | Article |
| Abstract | The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary waves solutions and used to describe the squall lines phenomenon and explained possible formation mechanism of the rainstorm formation which occur in the atmosphere, so the study on the rational solutions of soliton equations has potential application value in the atmosphere field; the soliton fission and fusion are described based on the resonant solution which is a special form of the N-soliton solutions. At last, the interactions of the solitons are shown with the aid of N-soliton solutions. |
| DOI | 10.1155/2016/7241625 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000390484000001 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Version | 出版稿 |
| Identifier | http://ir.qdio.ac.cn/handle/337002/136247 |
| Collection | 海洋环流与波动重点实验室 |
| Affiliation | 1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Key Lab Ocean Circulat & Waves, Qingdao 266071, Peoples R China 3.Qingdao Natl Lab Marine Sci & Technol, Funct Lab Ocean Dynam & Climate, Qingdao 266237, Peoples R China |
| Recommended Citation GB/T 7714 | Yang, Hongwei,Zhang, Yong,Zhang, Xiaoen,et al. The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3+1 Dimensional Jimbo-Miwa Equation[J]. ADVANCES IN MATHEMATICAL PHYSICS,2016. |
| APA | Yang, Hongwei,Zhang, Yong,Zhang, Xiaoen,Chen, Xin,&Xu, Zhenhua.(2016).The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3+1 Dimensional Jimbo-Miwa Equation.ADVANCES IN MATHEMATICAL PHYSICS. |
| MLA | Yang, Hongwei,et al."The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3+1 Dimensional Jimbo-Miwa Equation".ADVANCES IN MATHEMATICAL PHYSICS (2016). |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| The Rational Solutio（4135KB） | 期刊论文 | 出版稿 | 限制开放 | CC BY-NC-SA | View | |
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