Fedotova Z.I., Chubarov L.B., Khakimzyanov G.S.
In the paper the problems of mathematical modeling of tsunami waves generation by a moveable landslide are considered. It is pointed out, that nonlinear dispersive models are more preferable than classical shallow water models as they describe more complex wave behavior due to the ability to reproduce dispersion and to characterize process heterogeneity in a vertical direction. To account the landslip movement the determinative equations should take into account time dependence of a bottom surface. The main result of the paper is the analysis of assumptions which are necessary for derivation of the wave hydrodynamics nonlinear dispersive models suitable for the case of a non-stationary bottom surface and also the algorithm of the uniform derivation of Green-Naghdi, Zheleznyak-Pelinovsky, and Aleshkov models for this case. Some ways of the nonlinear dispersive equations numerical realization are discussed as well.
