The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations - International Journal of Modern Nonlinear Theory and Application

IJMNTA > Vol.4 No.1, March 2015

The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations ()

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DOI: 10.4236/ijmnta.2015.41004 5,366 Downloads 7,811 Views Citations

Author(s)

Mahmoud A. E. Abdelrahman¹, Emad H. M. Zahran², Mostafa M. A. Khater^1*

Affiliation(s)

¹Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.
²Department of Mathematical and Physical Engineering, College of Engineering Shubra, Benha University, Egypt.

ABSTRACT

The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method also can be used for many other nonlinear evolution equations.

KEYWORDS

Dynamical System in a New Double-Chain Model of DNA, A Diffusive Predator-Prey System, Traveling Wave Solutions, Solitary Wave Solutions, Kink-Anti Kink Shaped

Share and Cite:

Abdelrahman, M. , Zahran, E. and Khater, M. (2015) The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations. International Journal of Modern Nonlinear Theory and Application, 4, 37-47. doi: 10.4236/ijmnta.2015.41004.

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