title: Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method.
abstract: The exp(-Ф(η))-expansion method is an ascending method for obtaining exact and solitary wave solutions for nonlinear evolution equations. In this article, we implement the exp(-Ф(η))-expansion method to build solitary wave solutions to the fourth order Boussinesq equation. The procedure is simple, direct and useful with the help of computer algebra. By using this method, we obtain solitary wave solutions in terms of the hyperbolic functions, the trigonometric functions and elementary functions. The results show that the exp(-Ф(η))-expansion method is straightforward and effective mathematical tool for the treatment of nonlinear evolution equations in mathematical physics and engineering.
  35C07; 35C08; 35P99.
authors.affiliation: Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia.
authors.forename: Norhashidah
authors.initials: N
authors.lastname: Hj Mohd Ali
keywords: Fourth order Boussinesq equation; Solitary wave solutions; Soliton; Traveling wave solutions; exp(–Ф(η))-expansion method
references.citation: Springerplus. 2013 Nov 19;2:617
references.pmid: 24307985