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中文摘要：
在正压流体中从包含地形的准地转位涡出发,利用行波变换和约化摄动法导出了弱二次切变基本流下β变化和地形共同作用的正压Rossby孤立波振幅满足非齐次KdV方程。并计算了非齐次KdV方程的系数,说明弱二次切变基本气流、β变化和地形对Rossby孤立波的作用。
英文摘要：
In barotropic fluids, based on the quasi-geostrophic potential vorticity equation,an inhomogeneous nonlinear Kortewegde Vries（ Kd V） equation including topographic forcing and the change of beta under the quadric shearing basic flow derived by employing the perturbation method and stretching transforms of time and space. With inspection of the evolution of the amplitude of Rossby envelope solitary waves,it is found that the change of beta and topography effect are the important factor,the solitary Rossby waves is induced thought the basic stream function has a quadric shearing flow. The inhomogeneous nonlinear Kd V equation describing the evolution of the amplitude of solitary Rossby wave as the change of Rossby parameter and topographic forcing is obtained under the quadric shearing basic flow.
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