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The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation

Abstract This paper studies the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (KPB) equation via the Hirota’s bilinear form and symbolic computation. Mixed type lump solutions are presented, which include rational function, trigonometric function and hyperbolic function. The propagation and the dynamical behaviors of these mixed type of lump solutions are shown by some three-dimensional and contour plots.