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Breather-type kink wave of the (2+1)-dimensional BKP equation

Wei Chen (School of Science, Southwest University of Science and Technology, Mianyang, P.R. China)
Hanlin Chen (School of Science, Southwest University of Science and Technology, Mianyang, P.R. China)
Zhengde Dai (School of Mathematics and Statistics, Yunnan University, Kunming, P.R. China)

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