Abstract
Purpose – The purpose of this paper is to find solutions for the (2+1)-dimensional B-type Kadomtsev-Petviashvili equation and to research the quality of B-type Kadomtsev-Petviashvili equation. Design/methodology/approach – The authors apply the extended three-wave approach and the homoclinic test technique to solve the B-type Kadomtsev-Petviashvili equation. Findings – The authors obtain breather type of cross-kink solutions, doubly breather type of kink solitary solutions and the breather type of kink wave solutions for B-type Kadomtsev-Petviashvili equation. Research limitations/implications – As nonlinear evolution equations are characterized by rich dynamical behaviors, the authors have just found some of them and others are still to be found. Originality/value – These results may help us to investigate the local structure and the interaction of waves in high-dimensional models.
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