Wave motion in a heavy compressible fluid: Revisited

The effect of the compressibility of the ocean and its role in generating progressive compression-type waves (acoustic-gravity waves) are revisited. Originally, Longuet-Higgins (1950) obtained a solution for the nonlinear interaction of two opposite waves in a compressible fluid, which results in the generation of compression waves. In this paper we extend this solution to include the general interaction of waves of profoundly different wavelengths. We also fully solve the special triad resonance case obtained by Longuet-Higgins (1950).