应用数学2021，Vol.34Issue(3)：566-573,8.
孤立Rossby波的fmKdV方程及其解析解
fmKdV Equation for Solitary Rossby Waves and Its Analytical Solution
摘要
Abstract
In this paper, based on the geostrophic potential vorticity equation of shallow water model describing the nonlinear Rossby wave, we derive a forced modified Korteweg-de Vries (fmKdV) equation by utilizing the reduced perturbation method. By analyzing the fmKdV equation, we can explicate the basic topography, which is an important factor for the formation of solitary Rossby waves, while slowly varying topography with time is an external forcing effect. Besides, the generalized bate and basic shear flow effect are also important factors in the generation of solitary waves. Finally, the analytical solution for the fmKdV equation are presented by the general mapping deformation method. The results show that slowly varying topography with time only affects the speed of Rossby waves, dissipation affects both the amplitude and speed of Rossby waves.关键词
Rossby波/fmKdV方程/缓变地形/耗散/广义形变映射法Key words
Rossby waves/fmKdV equation/Slowly varying topography/Dissipation/General mapping deformation method分类
数理科学引用本文复制引用
陈利国,高菲菲,李琳琳,杨联贵..孤立Rossby波的fmKdV方程及其解析解[J].应用数学,2021,34(3):566-573,8.基金项目
Supported by the National Natural Science Foundation of China(11762011),Research Program of Science at Universities of Inner Mongolia Autonomous Region,China(NJZY21272) （11762011）
