IJPAM: Volume 101, No. 2 (2015)

AND NEW EXACT TRAVELLING WAVE SOLUTIONS OF
NONLINEAR REACTION-DIFFUSION MODEL




Faculty of Science Beni-Suef University
EGYPT

Faculty of Industrial Education
Beni-Suef University
EGYPT
Abstract. In this paper, we investigate the nonlinear reaction-diffusion (NRD) model. The Fisher equation, Burgers-Fisher equation and FitzHugh-Nagumo equation are simplest examples of NRD model. A variation of -expansion method is proposed to seek exact travelling wave solutions of nonlinear partial differential equations, and it is applied to construct a new exact travelling wave solutions for simplest examples of (NRD) model.
Received: September 29, 2014
AMS Subject Classification: 35K57, 35Q51, 37K40, 74J30
Key Words and Phrases: nonlinear reaction-diffusion (NRD) model, variation of -expansion method, Riccati equation, travelling wave solutions
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DOI: 10.12732/ijpam.v101i2.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 2
Pages: 187 - 211
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