本文研究斜压纬向流的稳定性问题,其中流速为非线性分布的情况。对可变的垂直速度的特征方程进行积分,用罗斯贝数和里查德森数作为稳定性的标准,判别在复数C面中的不稳定区,以及确定不稳定波增长速率的上界。本模式和准地转流函数模式间推导结果有些差别,尤其和速度的曲率项U_(zz)有关。在本模式中,如取U_(zz)的极值,可以估算不稳定波传播速度,它大于U_(max)或小于U_(min)。 In this paper, we study the stability of baroclinic zonal flow, in which the flow velocity is nonlinear. The characteristic equation of variable vertical velocity is integrated. The stability of Roswell number and Richardson number are used as the criterion to determine the unstable region in the complex C plane and the upper bound of the growth rate of the unstable wave. There are some differences between this model and the quasi-ground commutation function model, especially the velocity curvature term U zz. In this mode, the instability wave propagation velocity can be estimated as the extreme value of U zz, which is greater than U max or less than U min.