Breather-type kink wave of the (2+1)-dimensional BKP equation
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 5 January 2015
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.
Keywords
Acknowledgements
This work was supported by the Chinese Natural Science Foundation Grant Nos. 11061028, 10971169.
Citation
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
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited