Periodic multiphase solutions of the Kadomtsev-Petviashvili equation

Abstract

N-phase solutions of the Kadomtsev-Petviashvili (KP) equation (1970), that are periodic in space variables x and y, were obtained and effectively investigated using the Schottky uniformisation, of which a short description is given. Many wave patterns are represented graphically as contour plots and as isometric projections for different parameter values of two-, three- and four-phase solutions of the KP equation.