– 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.
– The authors apply the extended three-wave approach and the homoclinic test technique to solve the B-type Kadomtsev-Petviashvili equation.
– 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.
– 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.
– These results may help us to investigate the local structure and the interaction of waves in high-dimensional models.
