Resonant triad interactions in a stably stratified uniform shear flow

Resonant triad interactions among internal gravity waves in the presence of a uniform shear flow have been explored using analytical and numerical techniques. The existence of self-resonances among internal waves induced by the background shear flow is shown from the linear theory. For different mode interaction cases, the linear approach alone is insufficient for a broader range of control parameters. Hence, the divergence of the second-order solutions representing the superharmonic wave has been used to predict the resonating modes.