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Dissipative Nonlinear Schrodinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution
Shi, Yunlong1,2,3; Yin, Baoshu1,3; Yang, Hongwei4; Yang, Dezhou1,3; Xu, Zhenhua1,3; Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
2014
Source PublicationABSTRACT AND APPLIED ANALYSIS
Pages643652
SubtypeArticle
AbstractWe solve the so-called dissipative nonlinear Schrodinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, and beta effect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrodinger equation is derived. Based on the solution, the effect of dissipation on the evolution of envelope solitary Rossby wave is also discussed. The results show that the dissipation causes a slow decrease of amplitude of envelope solitary Rossby waves and a slow increase of width, while it has no effect on the propagation velocity. That is quite different from the KdV-type solitary waves. It is notable that dissipation has certain influence on the carrier frequency.
Subject AreaMathematics
DOI10.1155/2014/643652
Indexed BySCI
Language英语
WOS IDWOS:000343540300001
Citation statistics
Cited Times:16[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.qdio.ac.cn/handle/337002/23920
Collection海洋环流与波动重点实验室
Corresponding AuthorYin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
Affiliation1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
4.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
First Author AffilicationInstitute of Oceanology, Chinese Academy of Sciences;  Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Shi, Yunlong,Yin, Baoshu,Yang, Hongwei,et al. Dissipative Nonlinear Schrodinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution[J]. ABSTRACT AND APPLIED ANALYSIS,2014:643652.
APA Shi, Yunlong,Yin, Baoshu,Yang, Hongwei,Yang, Dezhou,Xu, Zhenhua,&Yin, BS .(2014).Dissipative Nonlinear Schrodinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution.ABSTRACT AND APPLIED ANALYSIS,643652.
MLA Shi, Yunlong,et al."Dissipative Nonlinear Schrodinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution".ABSTRACT AND APPLIED ANALYSIS (2014):643652.
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