Journal of Applied Mathematics
Volume 2013 (2013), Article ID 305032, 12 pages
http://dx.doi.org/10.1155/2013/305032
Research Article

Group Classification of a Generalized Lane-Emden System

Ben Muatjetjeja,1 Chaudry Masood Khalique,1 and Fazal Mahmood Mahomed2

1Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
2Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, (Wits), Johannesburg 2050, South Africa

Received 11 September 2012; Accepted 25 November 2012

Academic Editor: Mehmet Pakdemirli

Copyright © 2013 Ben Muatjetjeja et al. 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

We perform the group classification of the generalized Lane-Emden system , which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n.