Group Classification of a Generalized Lane-Emden System

Ben Muatjetjeja; Chaudry Masood Khalique; Fazal Mahmood Mahomed

doi:10.1155/2013/305032

Journal of Applied Mathematics (Jan 2013)

Group Classification of a Generalized Lane-Emden System

Ben Muatjetjeja,
Chaudry Masood Khalique,
Fazal Mahmood Mahomed

Affiliations

Ben Muatjetjeja: Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
Chaudry Masood Khalique: Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
Fazal Mahmood Mahomed: Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, (Wits), Johannesburg 2050, South Africa

DOI: https://doi.org/10.1155/2013/305032
Journal volume & issue: Vol. 2013

Abstract

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We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, 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.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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