TY - JOUR AB - 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. VL - 25 IS - 1 SN - 0961-5539 DO - 10.1108/HFF-02-2013-0046 UR - https://doi.org/10.1108/HFF-02-2013-0046 AU - Chen Wei AU - Chen Hanlin AU - Dai Zhengde PY - 2015 Y1 - 2015/01/01 TI - Breather-type kink wave of the (2+1)-dimensional BKP equation T2 - International Journal of Numerical Methods for Heat & Fluid Flow PB - Emerald Group Publishing Limited SP - 146 EP - 152 Y2 - 2024/09/26 ER -