title: Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method.
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.
authors.affiliation: Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.
authors.forename: Md Nur
authors.initials: MN
authors.lastname: Alam
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
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