Acoustic-gravity waves in a stratified isothermal atmosphere can be represented as a combination of two harmonic oscillations at the acoustic and gravitational eigenfrequencies, with explicit real-variable solutions.
Mathematical methods of classical mechanics
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Two-frequency approach to the theory of atmospheric acoustic-gravity waves
Acoustic-gravity waves in a stratified isothermal atmosphere can be represented as a combination of two harmonic oscillations at the acoustic and gravitational eigenfrequencies, with explicit real-variable solutions.