Solitary wave solutions for the modified Kadomtsev–Petviashvili equation

By applying the theory of bifurcations of dynamical systems to the modified Kadomtsev–Petviashvili equation which describes soliton propagation in multi-temperature electrons plasmas, a number of solitary waves and kink waves are obtained. Under various parameter conditions, all explicit formulas of solitary waves and kink solutions are given.