中文摘要：

从含有完整Coriolis力的地转位涡方程出发,采用合理的赤道β平面近似,利用摄动法和时空伸长变换,推导了具有地形和耗散共同作用下的非线性Rossby波演变规律,其振幅满足非齐次Benjamin-Davis-Ono-Burgers（BDO-Burgers）方程.分析说明了地球旋转水平分量和下垫面对Rossby波演变的影响.当取特殊情况时,本文的结论可以退化为前人的结果.

英文摘要：

Based on the potential vorticity equation with complete Coriolis force,using reasonable approximation of the equatorial βplane,the evolution of the amplitude of the nonlinear Rossby wave under the effect of topography and dissipation satisfies the inhomogeneous Benjamin-Davis-Ono-Burgers（ BDO-Burgers）equation by employing the perturbation method and stretching transforms of time and space. Results show the effects of the horizontal component of the Earth ’s rotation and the underlying surface on Rossby waves. The equation can be reduced to the results of former in special cases.