Conventional Partial and Complete Solutions of the Fundamental Equations of Fluid Mechanics in the Problem of Periodic Internal Waves with Accompanying Ligaments Generation

The problem of generating beams periodic internal waves in a viscous, exponentially stratified fluid by band oscillating along an inclined plane is considered the methods theory singular perturbations linear and weakly nonlinear approximations. complete solution to problem, which satisfies boundary conditions on emitting surface, constructed taking into account previously proposed classification flow structural components described solutions linearized system fundamental equations without involving additional force or mass sources. Analyses includes all satisfying dispersion relation that are thin accompanying ligaments, transverse scale determined kinematic viscosity buoyancy frequency. Ligaments located both near surface bulk liquid form wave beam envelopes. Calculations show description components, ligaments interact directly with each other combinations: waves-waves, waves-ligaments, ligaments-ligaments. Direct interactions generate new harmonics occur despite differences their scales. Additionally, rapidly bi-harmonically vertical considered. If difference frequencies spectral movement less than frequency, interacting as well. estimates made amplitudes such large enough be observed under laboratory conditions.