Effects of Coriolis force on the nonlinear interactions of acoustic-gravity waves in the atmosphere

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 (Mendonca 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.

Automated summary

The study revisited the nonlinear theory of acoustic-gravity waves in the atmosphere taking into account the effects of the Coriolis force, identifying the coupling between high-frequency acoustic-gravity waves and low-frequency internal gravity waves. The Earth's angular velocity enhances the frequency of internal gravity waves and significantly modifies the nonlinear coupling between acoustic-gravity waves and internal gravity waves.