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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 PublicationADVANCES IN MATHEMATICAL PHYSICS
SubtypeArticle
AbstractThe 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.
DOI10.1155/2016/7241625
Indexed BySCI
Language英语
WOS IDWOS:000390484000001
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.qdio.ac.cn/handle/337002/136247
Collection海洋环流与波动重点实验室
Affiliation1.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).
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