A forced 3-D time fractional ZK-Burgers model for Rossby solitary waves with dissipation and thermal forcing
A forced 3-D time fractional ZK-Burgers model for Rossby solitary waves with dissipation and thermal forcing
复制标题
DOI：
10.2298/tsci180612241f
复制
发表时间：
2019
期刊：
影响因子：
1.7
通讯作者：
L. Fu;Zheyuan Yu;Huanhe Dong;Yuqing Li;Hongwei Yang
中科院分区：
文献类型：
--
作者：
L. Fu;Zheyuan Yu;Huanhe Dong;Yuqing Li;Hongwei Yang
本文从层结流体中具有耗散和热力强迫的准地转位涡方程出发，采用多尺度分析和摄动方法，导出了描述分数阶导数Rossby孤立波传播的三维Zakharov-Kuznetsor（ZK）-Burgers方程。利用（G？/ G）-展开法分析了热力强迫对Rossby波的激发作用。
In the paper, beginning from the quasi-geostrophic potential vorticity equation with the dissipation and thermal forcing in stratified fluid, by employing multi-scale analysis and perturbation method, we derive a forced 3-D Zakharov Kuznetsor (ZK)-Burgers equation describe the propagation of the Rossby solitary waves within the fractional derivative. The exact solutions are given by virtue of the (G?/G)-expansion method to analyze the excitation effect of thermal forcing on the Rossby waves.