New Travelling Wave solutions of the Korteweg De Vries Equation by - (G'/G') Expansion method.

Authors

  • Samuel Sedara Oduduwa University, Ipetumodu
  • Ajibola Saheed Oluwatoyin National Open University of Nigeria

DOI:

https://doi.org/10.24297/jam.v5i1.3671

Keywords:

Expansion method, Korteweg De Vries, nonlinear Partial differential equations, Wave solutions.

Abstract

Exact hyperbolic, trigonometric and rational function travelling wave solutions to the Korteweg De Vries (KDV) equation using the (G'/G) expansion method are presented in this paper. More travelling wave solutions to the KDV equation were obtained with Liu's theorem. The solutions obtained were verified by putting them back into the equation with the aid of Mathematica. This shows that the (G'/G) expansion method is a powerful and effective tool for obtaining exact solutions to nonlinear partial differential equations in physics, mathematics and other applications.

Downloads

Download data is not yet available.

Author Biographies

Samuel Sedara, Oduduwa University, Ipetumodu

Department of Physical Sciences

Ajibola Saheed Oluwatoyin, National Open University of Nigeria

Department of Mathematics

Downloads

Published

2013-12-16

How to Cite

Sedara, S., & Oluwatoyin, A. S. (2013). New Travelling Wave solutions of the Korteweg De Vries Equation by - (G’/G’) Expansion method. JOURNAL OF ADVANCES IN MATHEMATICS, 5(1), 599–606. https://doi.org/10.24297/jam.v5i1.3671

Issue

Section

Articles