ANALYTICAL SOLUTIONS OF INTERNAL GRAVITY WAVES EQUATION FOR MODEL BUOYANCY FREQUENCY DISTRIBUTION
The problem of constructing analytical solutions of the equation of internal gravity waves in a stratified medium with variable frequency Brunt-Vaisala is considered. Four model buoyancy frequency distributions are proposed that describe the existence of a layer of water density jump in the ocean. For each model, analytical solutions describing the dispersion curves and eigenfunctions of the main vertical spectral problem are obtained. The results of numerical calculations for the parameters characteristic for the real ocean are presented.