中文摘要：

本文研究了两层流体中具有变化的Rossby参数和地形Rossby波的问题.利用行波法和摄动的方法,获得了Rossby波振幅满足齐次KdV方程和齐次mKdV方程,推广了Rossby参数和地形对Rossby孤立波的影响.

英文摘要：

In this paper,we study the problem of the change of Rossby parameter and the topography in a two-layer°uid.Based on the traveling wave method and the perturbation method,the Rossby wave amplitude is obtained to satisfy the homogeneous KdV equation and the homogeneous mKdV equation,which describe the evolution of the amplitude of solitary Rossby waves.The e?ects of Rossby parameters and topography on Rossby wave are generalized.