Compact and noncompact structures of a three-dimensional 3DKP(m,n)(m,n) equation with nonlinear dispersion

In this paper, we investigate exact-special solutions of the three-dimensional Kadomtsev–Petviashvili equation (3DKP(m,n)) with nonlinear dispersion. We use the ansatz method and the Exp-function method for this equation. So, we get general formulae for the compactons, solitary patterns, solitons and periodic solutions. In addition, we obtain a new travelling wave solution for the 3DKP(2,1) equation by the Exp-function method.