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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
Source PublicationADVANCES IN DIFFERENCE EQUATIONS
SubtypeArticle
AbstractTwo-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.
KeywordThree-dimensional Rossby Solitary Waves Zk-burgers Equation Hirota Method Ration Solution Chirp Effect
DOI10.1186/s13662-016-0901-8
Indexed BySCI
Language英语
WOS IDWOS:000391177800001
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.qdio.ac.cn/handle/337002/136255
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, 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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