Hybrid solutions of a (3 + 1)-dimensional generalized B-type Kadomtsev–Petviashvili equation

Abstract

The simplified form of the Hirota bilinear method is used to investigate a [Formula: see text]-dimensional generalized B-type Kadomtsev–Petviashvili (gBKP) equation, and the five-soliton is formally derived. Applying the long-wave limit to the five-soliton and establishing the complex conjugate relations in the parameters of the five-soliton, five types of hybrid solutions of the [Formula: see text]-dimensional gBKP equation are obtained. Furthermore, the dynamical behaviors of the hybrid solutions are systematically analyzed via numerical simulations.