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A new model for algebraic Rossby solitary waves in rotation fluid and its solution
Chen Yao-Deng1,2; Yang Hong-Wei3; Gao Yu-Fang1,2; Yin Bao-Shu4,5; Feng Xing-Ru4,5
2015-09-01
Source PublicationCHINESE PHYSICS B
Volume24Issue:9Pages:1-8
SubtypeArticle
AbstractA generalized Boussinesq equation that includes the dissipation effect is derived to describe a kind of algebraic Rossby solitary waves in a rotating fluid by employing perturbation expansions and stretching transformations of time and space. Using this equation, the conservation laws of algebraic Rossby solitary waves are discussed. It is found that the mass, the momentum, the energy, and the velocity of center of gravity of the algebraic solitary waves are conserved in the propagation process. Finally, the analytical solution of the equation is generated. Based on the analytical solution, the properties of the algebraic solitary waves and the dissipation effect are discussed. The results point out that, similar to classic solitary waves, the dissipation can cause the amplitude and the speed of solitary waves to decrease; however, unlike classic solitary waves, the algebraic solitary waves can split during propagation and the decrease of the detuning parameter can accelerate the occurrence of the solitary waves fission phenomenon.
KeywordGeneralized Boussinesq Equation Algebraic Rossby Solitary Waves Dissipation Effect Solitary Waves Fission
DOI10.1088/1674-1056/24/9/090205
Indexed BySCI
Language英语
WOS IDWOS:000363325200005
Citation statistics
Document Type期刊论文
Identifierhttp://ir.qdio.ac.cn/handle/337002/73923
Collection海洋环流与波动重点实验室
Affiliation1.Nanjing Univ Informat Sci & Technol, Key Lab Meteorol Disaster, Minist Educ, Nanjing 210044, Peoples R China
2.Nanjing Univ Informat Sci & Technol, Collaborat Innovat Ctr Forecast & Evaluat Meteoro, Nanjing 210044, Peoples R China
3.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
4.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
5.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
Recommended Citation
GB/T 7714
Chen Yao-Deng,Yang Hong-Wei,Gao Yu-Fang,et al. A new model for algebraic Rossby solitary waves in rotation fluid and its solution[J]. CHINESE PHYSICS B,2015,24(9):1-8.
APA Chen Yao-Deng,Yang Hong-Wei,Gao Yu-Fang,Yin Bao-Shu,&Feng Xing-Ru.(2015).A new model for algebraic Rossby solitary waves in rotation fluid and its solution.CHINESE PHYSICS B,24(9),1-8.
MLA Chen Yao-Deng,et al."A new model for algebraic Rossby solitary waves in rotation fluid and its solution".CHINESE PHYSICS B 24.9(2015):1-8.
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