Dissipative Nonlinear Schrdinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution

IOCAS-IR

	Dissipative Nonlinear Schrdinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution
	Shi YL(时云龙); Yang HW(杨红卫); Yin BS(尹宝树); Yang DZ(杨德周); Xu ZH(徐振华); Feng XR(冯兴如)
发表期刊	Communications in Theoretical Physics
ISSN	0253-6102
	2015-10-01
出版年	2015
卷号	v.64 期号:10 页码:102-110
文献类型	CNKI期刊论文
摘要	The dissipative nonlinear Schrdinger 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 β 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 Schr¨odinger equation and forced nonlinear Schr¨odinger 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.
关键词	forced dissipative nonlinear Schr¨odinger equation,envelope solitary Rossby waves,Jacobi elliptic function expansion method,Hirota's direct method
CNKI专辑号	A;
CNKI专辑名称	基础科学;
CNKI专题号	A005;
CNKI专题名称	物理学;
分类号	O415
收录类别	中科院核心 ; 中科院扩展
语种	英文;
资助项目(基金）	Supported by Foundation for Innovative Research Groups of the National Natural Science Foundation of China under Grant No.41421005 ; National Natural Science Foundation of China under Grant Nos.41376030,41376029,41476019 ; NSFC–Shandong Joint Fund for Marine Science Research Centers Grant(U1406401) ; Special Funds for Theoretical Physics of the National Natural Science Foundation of China under Grant No.11447205
文献类型	CNKI期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/189905
专题	中国科学院海洋研究所
作者单位	1.InstituteofOceanology,ChineseAcademyofSciences 2.UniversityofChineseAcademyofSciences 3.KeyLaboratoryofOceanCirculationandWave,ChineseAcademyofSciences 4.CollegeofMathematicsandSystemScience,ShandongUniversityofScienceandTechnology
推荐引用方式 GB/T 7714	Shi YL,Yang HW,Yin BS,et al. Dissipative Nonlinear Schrdinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution. 2015.