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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
2015-10-01
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Volume64Issue:4Pages:464-472
SubtypeArticle
AbstractThe 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.
KeywordForced Dissipative Nonlinear Schrodinger Equation Envelope Solitary Rossby Waves Jacobi Elliptic Function Expansion Method Hirota's Direct Method
Indexed BySCI
Language英语
WOS IDWOS:000366387900014
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.qdio.ac.cn/handle/337002/86630
Collection海洋环流与波动重点实验室
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 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.
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