文章基本信息

标题：Symmetry analysis for three-dimensional dissipation Rossby waves
本地全文：下载
作者：Mengshuang Tao ; Ning Zhang ; Dezhi Gao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：300
DOI：10.1186/s13662-018-1768-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：Rossby waves, belonging to the most important waves in the atmosphere and ocean, can affect the energy transfer of the atmosphere and ocean and have significant theoretical meaning and research value. In previous research performed with the theory and calculation method limit, the dissipation effect was commonly ignored. However, under the conditions of the weak linear approximation, the magnitude difference between nonlinear and dissipation is small, and the dissipation effect must be considered. In this paper, based on the classic Lie group approach, the ( 3 + 1 ) $(3+1)$ -dimensional quasi-geodetiophic vorticity equation with dissipation effect is solved. With the help of the solutions, we can better comprehend the influence of the dissipation effect on the propagation of Rossby waves.
关键词：Rossby wave ; Dissipation effect ; Lie symmetry