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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
发表期刊ADVANCES IN MATHEMATICAL PHYSICS
文章类型Article
摘要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.
DOI10.1155/2016/7241625
收录类别SCI
语种英语
WOS记录号WOS:000390484000001
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文献类型期刊论文
版本出版稿
条目标识符http://ir.qdio.ac.cn/handle/337002/136247
专题海洋环流与波动重点实验室
作者单位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
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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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