Compactons and noncompactons to three-dimensional Kadomtsev–Petviashvili equation with nonlinear dispersion

In this paper, we investigate the three-dimensional KP equation with nonlinear dispersion (simply called 3DKP(m, n) equation) using some transformations. As a result, some compactons and solitary patterns are obtained. In particular, some solitary wave solutions are also given for differential parameters. Moreover, it is shown that the 3DKP(m, 1) equation with linear dispersion also has compactons and solitary patterns.