Research Article Open Access

Application of an Enhanced (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Particle Physics

S.M. Rayhanul Islam1
  • 1 Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh

Abstract

The enhanced (G'/G)-expansion method is very effective and powerful method to find the exact traveling wave solutions of nonlinear evolution equations. We choose the Phi-4 equation to illustrate the validity and advantages of this method. As a result, many exact traveling wave solutions are obtained, which include soliton, hyperbolic function and trigonometric function solutions.

American Journal of Applied Sciences
Volume 12 No. 11, 2015, 836-846

DOI: https://doi.org/10.3844/ajassp.2015.836.846

Submitted On: 6 March 2015 Published On: 13 November 2015

How to Cite: Islam, S. R. (2015). Application of an Enhanced (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Particle Physics. American Journal of Applied Sciences, 12(11), 836-846. https://doi.org/10.3844/ajassp.2015.836.846

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Keywords

  • Enhanced (G’/G)-Expansion
  • Phi-4 Equation
  • Traveling Wave Solutions
  • Solitons
  • Nonlinear Evolution Equations