中文摘要：

正压流体中，从准地转位涡方程出发采用摄动方法和时空伸长变换推导了在缓变地形下卢效应的Rossby代数孤立波方程，得到Rossby波振幅满足带有缓变地形非齐次Benjamin-Davis-Ono（BDO）方程的结论．通过分析孤立Rossby波振幅的演变，指出了β效应、地形效应是诱导Rossby孤立波产生的重要因素，说明了在缓变地形强迫效应和非线性作用相平衡的假定下，Rossby孤立波振幅的演变满足非齐次BDO方程，给出在切变基本气流下缓变地形和正压流体中Rossby波的相互作用．

英文摘要：

In barotropic fluids, based on the quasi-geostrophic potential vorticity equation, an inhomogeneous BDO equation including slowly changing topography and beta effect is derived by employing the reductive perturbation expansion method and stretching transforms of time and space. With inspection of the evolution of the amplitude of Rossby waves, it is found that beta effect, topography effect, slowly changing topography are the important factor, the algebraic solitary Rossby waves is induced thought the basic stream function has a shear flow. Assuming that there be a balance between nonlinear and topographic effects, an inhomogeneous BDO equation is derived, the results show that the topography and Rossby waves interact in the barotropic flows.