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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
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

Open AccessCopyright: © 2015 S.M. Rayhanul Islam. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

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