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ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
Yang, Hong Wei1; Xu, Zhen Hua2,3; Yang, De Zhou2,3; Feng, Xing Ru2,3; Yin, Bao Shu2,3; Dong, Huan He1
2016-06-24
发表期刊ADVANCES IN DIFFERENCE EQUATIONS
文章类型Article
摘要Two-dimensional Rossby solitary waves propagating in a line have attracted much attention in the past decade, whereas there is few research on three-dimensional Rossby solitary waves. But as is well known, three-dimensional Rossby solitary waves are more suitable for real ocean and atmosphere conditions. In this paper, using multiscale and perturbation expansion method, a new Zakharov-Kuznetsov (ZK)-Burgers equation is derived to describe three-dimensional Rossby solitary waves that propagate in a plane. By analyzing the equation we obtain the conservation laws of three-dimensional Rossby solitary waves. Based on the sine-cosine method, we give the classical solitary wave solutions of the ZK equation; on the other hand, by the Hirota method we also obtain the rational solutions, which are similar to the solutions of the Benjamin-Ono (BO) equation, the solutions of which can describe the algebraic solitary waves. The rational solutions of the ZK equations are worth of attention. Finally, with the help of the classical solitary wave solutions, similar to the fiber soliton communication, we discuss the dissipation and chirp effect of three-dimensional Rossby solitary waves.
关键词Three-dimensional Rossby Solitary Waves Zk-burgers Equation Hirota Method Ration Solution Chirp Effect
DOI10.1186/s13662-016-0901-8
收录类别SCI
语种英语
WOS记录号WOS:000391177800001
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被引频次:19[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
版本出版稿
条目标识符http://ir.qdio.ac.cn/handle/337002/136255
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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GB/T 7714
Yang, Hong Wei,Xu, Zhen Hua,Yang, De Zhou,et al. ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect[J]. ADVANCES IN DIFFERENCE EQUATIONS,2016.
APA Yang, Hong Wei,Xu, Zhen Hua,Yang, De Zhou,Feng, Xing Ru,Yin, Bao Shu,&Dong, Huan He.(2016).ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect.ADVANCES IN DIFFERENCE EQUATIONS.
MLA Yang, Hong Wei,et al."ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect".ADVANCES IN DIFFERENCE EQUATIONS (2016).
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