Abstract

The aim of this paper is to show the existence of three-wave lump solutions to a (3+1)-dimensional generalized CBS (gCBS) equation. Based on the Hirota method, the quadratic functions of the form f=f12+f22+f32+d with nondegenerate condition are applied to solve the corresponding bilinear equation and to generate lump solutions to the gCBS equation. We present two examples of such nonlinear equations and their lump solutions. Moreover, 3-dimensional plots and contour plots are exhibited for three reduced lump solutions.

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