The nonlinear theory of acoustic-gravity waves (AGWs) in the atmosphere is revisited with the effects of the Coriolis force. Previous theory in the literature (Mendonça and Stenflo, 2015) is advanced. Starting from a set of fluid equations modified by the Coriolis force, a general linear dispersion relation is derived which manifests the coupling of the high-frequency acoustic-gravity waves (AGWs) and the low-frequency internal gravity waves (IGWs). The frequency of IGWs is enhanced by the Earth’s angular velocity. The latter also significantly modifies the nonlinear coupling of AGWs and IGWs whose evolutions are described by the Zakharov approach as well as the Wigner–Moyal formalism. The consequences of AGWs and the two equivalent evolution equations modified by the Coriolis force are briefly discussed.

用科里奥利力的影响重新审视大气中声重力波 (AGW) 的非线性理论。以前的文献理论（Mendonça 和 Stenflo，2015 年）是先进的。从一组由科里奥利力修正的流体方程出发，推导出一个一般的线性色散关系，它体现了高频声重力波 (AGW) 和低频内部重力波 (IGW) 的耦合。地球的角速度提高了 IGW 的频率。后者还显着修改了 AGW 和 IGW 的非线性耦合，其演变由 Zakharov 方法以及 Wigner-Moyal 形式主义描述。简要讨论了 AGW 的后果和由科里奥利力修正的两个等效演化方程。