Abstract

In this paper, a new method to find quadratic function solutions to bilinear forms is proposed. By applying the Hirota direct method, we construct some important exact solutions to the B-type Kadomtsev-Petviashvili (BKP) equation of fourth-order. Solitons, rational solutions, lump solutions and interaction solutions are presented with the help of symbolic computations. The dynamics of some selected solutions are also studied with the aid of 3D plots.

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