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

TL;DR

This paper extends the nonlinear theory of atmospheric acoustic-gravity waves by incorporating the Coriolis force, revealing its impact on wave coupling and frequency, with implications for atmospheric wave dynamics.

Contribution

It advances previous models by deriving a general dispersion relation including Coriolis effects and analyzing their influence on wave interactions using Zakharov and Wigner-Moyal formalisms.

Findings

Coriolis force enhances IGW frequency.

Coriolis modifies nonlinear wave coupling.

Derived coupled evolution equations for AGWs and IGWs.

Abstract

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 [Phys. Scr. \textbf{90} (2015) 055001] 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.