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 . 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 inertial 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 the two equivalent evolution equations modified by the Coriolis force are briefly discussed.
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