Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 457697, 9 pages
http://dx.doi.org/10.1155/2011/457697
Research Article

Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation

Mehdi Nadjafikhah and Vahid Shirvani-Sh

Department of Mathematics, Islamic Azad University, Karaj Branch, P.O. Box 31485-313, Karaj, Iran

Received 4 May 2011; Accepted 11 June 2011

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2011 Mehdi Nadjafikhah and Vahid Shirvani-Sh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group-invariant solutions is investigated.