Article citationsMore >>

Jabbari, A., Kheiri, H. and Bekir, A., “Exact solutions of the coupled Higgs equation and the Miccari system using He’s semi-inverse method and (G’/G)-expansion method,” Computers Math. Appli., 62, 2177-2186, 2011.

has been cited by the following article:

Article

The Improved (G’/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation

1School of Mathematical Sciences, Universiti Sains Malaysia,Penang, Malaysia

2Department of Mathematics and Natural Sciences, BRAC University, Mohakhali, Dhaka, Bangladesh


American Journal of Applied Mathematics and Statistics. 2013, Vol. 1 No. 4, 64-70
DOI: 10.12691/ajams-1-4-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
Hasibun Naher, Farah Aini Abdullah. The Improved (G’/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation. American Journal of Applied Mathematics and Statistics. 2013; 1(4):64-70. doi: 10.12691/ajams-1-4-3.

Correspondence to: Hasibun Naher, School of Mathematical Sciences, Universiti Sains Malaysia,Penang, Malaysia. Email: hasibun06tasauf@gmail.com

Abstract

In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(ξ) satisfies the second order linear ordinary differential equation. To show the advantages of the method, the (3+1)-dimensional Kadomstev-Petviashvili (KP) equation has been investigated. Higher-dimensional nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation. Also, in order to understand the behaviour of solutions, the graphical representations of some obtained solutions have been presented.

Keywords