Some lump solutions for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation

In this paper, a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, which can be reduced to the classical equation, is investigated based on the Hirota bilinear method. The lump and lump strip solutions for this equation are obtained with the help of symbolic computation. Those solutions are derived from polynomial solutions, and can be simply classified into some classes. Analysis for the obtained solutions are presented, and their dynamic properties are discussed. Results are helpful for the study of soliton interactions in nonlinear mathematical physics.