Abstract
In this paper, we investigated the extend (3+1)-dimensional Kadomtsev-Petviashvili (eKP) equation. Based on the Hirota direct method, we derived lump soliton solutions and breather solutions for eKP equation in the cases of z=x and z=y after dimension reduction. In the process of solving the equation, we all make use of Maple symbolic computation. At the same time, in order to further understand the dynamic behavior of these solutions, by choosing appropriate parameters, we give the plots of the solutions.
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