Long waves in the non-homogeneous fluid above the deformable bottom

The article is devoted to nonlinear problem about distribution of long waves above a bottom which can change, deform and move is considered. The partial case was researched. It is potential movement of two layers of homogeneous non compressible fluid. This mathematical model is given in linear approximation with dispersion. During the research for progressive waves the dispersion correlation has been advanced which characterize the dependence of frequency $\omega$ upon the waves number $k$, rheological properties of the ground and hydrodynamic characteristics of the any water layer.