Wave formation in a two-layer liquid under the action of a source

The article is devoted to the construction of an analytical algorithm for solving the problem of the formation of waves in a two-layer liquid from a source located in the upper layer. In the course of the solution, the problem is reduced to a boundary value problem for a system of differential equations with respect to the velocity potentials of the perturbed flow of liquids, which was divided into three simpler boundary value problems. Expressions characterizing the evolution of the free boundary and the line of separation of media were also obtained. Conclusions are drawn about the influence of density difference, layer depth and power of the source on the wave formation process.