IJPAM: Volume 101, No. 2 (2015)

A VARIATION OF $(G^\prime/G)$-EXPANSION METHOD
AND NEW EXACT TRAVELLING WAVE SOLUTIONS OF
NONLINEAR REACTION-DIFFUSION MODEL

R.S. Ibrahim$^1$, O.H. El-Kalaawy$^2$, G.S. Said$^3$
$^{1,2}$Department of Mathematics
Faculty of Science Beni-Suef University
EGYPT
$^3$Department of Mathematics
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 $(G^\prime/G)$-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 $(G^\prime/G)$-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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