Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution

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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-Wei 4; Yin Bao-Shu 1,3; Yang De-Zhou 1,3; Xu Zhen-Hua 1,3; Feng Xing-Ru 1,3
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2015-10-01
卷号	64 期号:4 页码:464-472
关键词	forced dissipative nonlinear Schrodinger equation envelope solitary Rossby waves Jacobi elliptic function expansion method Hirota's direct method
英文摘要	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.
收录类别	SCI
语种	英语
WOS记录号	WOS:000366387900014
内容类型	期刊论文
源URL	[http://ir.qdio.ac.cn/handle/337002/86630]
专题	海洋研究所_海洋环流与波动重点实验室
作者单位	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
推荐引用方式 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.