Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
| 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.
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| 2014 | |
| Source Publication | ABSTRACT AND APPLIED ANALYSIS
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| Pages | 643652 |
| Subtype | Article |
| Abstract | We 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 Area | Mathematics |
| DOI | 10.1155/2014/643652 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000343540300001 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.qdio.ac.cn/handle/337002/23920 |
| Collection | 海洋环流与波动重点实验室 |
| Corresponding Author | Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China. |
| Affiliation | 1.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 Affilication | Institute 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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