Abstract
Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile, variable separation solutions are also constructed by applying a simple ansatz method. These variable separation solutions contain the shock solution, the peakon-type breather solution and the periodic solution. They showed some special localized structures in 2D and 3D-plots.
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