Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 346461, 9 pages
doi:10.1155/2009/346461
Research Article

New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function Method

F. Khani,1 F. Samadi,2 and S. Hamedi-Nezhad1

1Department of Mathematics, Bakhtar Institute of Higher Education, P.O. Box 696, Ilam, Iran
2Department of Mathematics, Payam Noor University, Kermanshah, Iran

Received 2 December 2008; Revised 8 February 2009; Accepted 7 July 2009

Academic Editor: Katica R. (Stevanovic) Hedrih

Copyright © 2009 F. Khani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Firstly, using a series of transformations, the Brusselator reaction diffusion model is reduced into a nonlinear reaction diffusion equation, and then through using Exp-function method, more new exact solutions are found which contain soliton solutions. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method.