New Exact Solutions of the Brusselator Reaction Diffusion Model Using the Exp-Function MethodReport as inadecuate




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Mathematical Problems in EngineeringVolume 2009 2009, Article ID 346461, 9 pages

Research Article

Department of Mathematics, Bakhtar Institute of Higher Education, P.O. Box 696, Ilam, Iran

Department 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 diffusionmodel is reduced into a nonlinear reaction diffusion equation, and then throughusing Exp-function method, more new exact solutions are found which containsoliton solutions. The suggested algorithm is quite efficient and is practicallywell suited for use in these problems. The results show the reliability andefficiency of the proposed method.





Author: F. Khani, F. Samadi, and S. Hamedi-Nezhad

Source: https://www.hindawi.com/



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