Descripción:
The Kadomtsev-Petviashvili equation for shallow water waves with negative dispersion (KP) can be reduced to the Boussinesq type (TBq) equation utt - uxx + (u2)xx + uxxxx = 0 by means of infinitesimal transformations of Lie's method. We use the one-dimensional soliton-solutions of the TBq equation in order to obtain two-dimensional soliton-solutions of the KP equation. We analyze some remarkable properties of these solutions.