Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method

Md Nur Alam; M Ali Akbar

doi:10.1186/2193-1801-2-617

Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method

Springerplus. 2013 Nov 19:2:617. doi: 10.1186/2193-1801-2-617. eCollection 2013.

Authors

Md Nur Alam¹, M Ali Akbar

Affiliation

¹ Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.

Abstract

The new approach of the generalized (G'/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G'/G)-expansion method is applied to construct traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. By means of this scheme, we found some new traveling wave solutions of the above mentioned equation.

Keywords: 35C07; 35C08; 35P99; Exact solutions; Homogeneous balance; KP-BBM equation; Mathematics subject classification; New generalized (G′/G)-expansion method; Nonlinear partial differential equation; Solitary wave solutions; Traveling wave solutions.