Internal Gravity Waves in the Ocean with Multidirectional Shear Flows

The problem of constructing solutions that describe internal gravity waves in a stratified medium with finite depth and multidirectional shear flows has been considered. The model constant distribution of the Brunt-Vaisala frequency and the linear dependence of shear flows on depth have also been considered, and an analytical solution of the problem, which is expressed through the modified Bessel functions with an imaginary index, has been obtained. Using the Debye asymptotics of the modified Bessel function, analytical expressions have been obtained for dispersion relations and the phase characteristics of wave fields have been studied. The dependences of the wave characteristics of excited fields on the main parameters of the used models of stratification, flows, and generation modes have also been studied.