Gavrilov N.V., Liapidevskii V.Yu., Liapidevskaya Z.A.
Wave motions of stratified fluid over uneven bottom are considered. The results of the laboratory experiments on the transformation of nonlinear internal waves of the first and second mode on the slope are presented. The numerical calculations of the evolution of large-amplitude internal waves using a mathematical model of the three-layer shallow water with the non-hydrostatic pressure distribution are compared with the experimental data. The exact solution, which represents an asymmetric solitary wave of the second mode, is constructed. The experimental confirmation of the existence of asymmetric solitary waves propagating along the interface between the homogeneous layers of different densities is presented.