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.
This work was supported by the Chinese Natural Science Foundation Grant Nos. 11061028, 10971169.
Chen, W., Chen, H. and Dai, Z. (2015), "Breather-type kink wave of the (2+1)-dimensional BKP equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 1, pp. 146-152. https://doi.org/10.1108/HFF-02-2013-0046
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