Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
| Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution | |
Shi Yun-Long1,2,3 ; Yang Hong-Wei4; Yin Bao-Shu1,3; Yang De-Zhou1,3; Xu Zhen-Hua1,3; Feng Xing-Ru1,3
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| 2015-10-01 | |
| Source Publication | COMMUNICATIONS IN THEORETICAL PHYSICS
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| Volume | 64Issue:4Pages:464-472 |
| Subtype | Article |
| Abstract | The dissipative nonlinear Schrodinger equation with a forcing item is derived by using of multiple scales analysis and perturbation method as a mathematical model of describing envelope solitary Rossby waves with dissipation effect and external forcing in rotational 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,13 effect are important factors in forming the envelope solitary Rossby waves. By employing Jacobi elliptic function expansion method and Hirota's direct method, the analytic solutions of dissipative nonlinear Schrodinger equation and forced nonlinear Schrodinger equation are derived, respectively With the help of these solutions, the effects of dissipation and external forcing on the evolution of envelope solitary Rossby wave are also discussed in detail. The results show that dissipation causes slowly decrease of amplitude of envelope solitary Rossby waves and slowly increase of width, while it has no effect on the propagation speed and different types of external forcing can excite the same envelope solitary Rossby waves. It is notable that dissipation and different types of external forcing have certain influence on the carrier frequency of envelope solitary Rossby waves. |
| Keyword | Forced Dissipative Nonlinear Schrodinger Equation Envelope Solitary Rossby Waves Jacobi Elliptic Function Expansion Method Hirota's Direct Method |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000366387900014 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.qdio.ac.cn/handle/337002/86630 |
| Collection | 海洋环流与波动重点实验室 |
| 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 Yun-Long,Yang Hong-Wei,Yin Bao-Shu,et al. Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2015,64(4):464-472. |
| APA | Shi Yun-Long,Yang Hong-Wei,Yin Bao-Shu,Yang De-Zhou,Xu Zhen-Hua,&Feng Xing-Ru.(2015).Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution.COMMUNICATIONS IN THEORETICAL PHYSICS,64(4),464-472. |
| MLA | Shi Yun-Long,et al."Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution".COMMUNICATIONS IN THEORETICAL PHYSICS 64.4(2015):464-472. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Dissipative Nonlinea（2169KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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