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从地球流体运动浅水模式的非线性方程出发，采用行波分析法给出了平面自治系统，利用相图理论，讨论了行波解的性质，提出了平面非线性系统不存在孤立波的结论；利用K-B平均法，首次获得有限振幅惯性重力波以Rossby数作为控制参量的非线性频散关系。
Based on the nonlinear equations of the shallow water model of the earth fluid motion, the plane autonomous system is given by using the traveling wave analysis method. By using the phase diagram theory, the properties of the traveling wave solutions are discussed and the conclusion that there exists no solitary wave in the planar nonlinear system is proposed. Using the KB method, we first obtain the nonlinear dispersion relation of finite amplitude inertial gravity wave with Rossby number as the control parameter.