Long waves in homogeneous fluid above 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 layer of homogeneous non compressible fluid. This mathematical model is given in linear approximation with dispersion. During the research the dispersion correlation has been advanced which characterize the dependence of the relief of the bottom upon the rheology of the ground and hydrodynamic characteristics of the water layer.