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

• Published in: SpringerPlus Vol. 2; no. 1; p. 617
• Main Authors: Alam, Md Nur, Akbar, M Ali
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 19.11.2013; Springer Nature B.V; BioMed Central Ltd
• Subjects: Applied Mathematics; Humanities and Social Sciences; multidisciplinary; Science; Science (multidisciplinary); ′; KP-BBM equation; Exact solutions; 35P99; New generalized; Nonlinear partial differential equation; Homogeneous balance; Solitary wave solutions; expansion method; Traveling wave solutions; 35C08; 35C07; Mathematics subject classification; New generalized (G′/G)-expansion method
• ISSN: 2193-1801; 2193-1801
• DOI: 10.1186/2193-1801-2-617

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.