Numerical experiments on estimating the effect of non-linearity on long wave propagation over a seamount

In the context of the nonlinear, theory of long waves, we solve, using numerical techniques, a non-stationary problem on the barotropic wave propagation over an isolated bottom elevation. The time interval during which the wave process over an obstacle sets in is determined. The relative contributions of the non-linear terms to the model equations have been analysed. A practical criterion of applicability of the linear approximation to the problem examined has been formulated.Translated by Vladimir A. Puchkin.