A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations

A. Fatima; Muhammad Ayub; F. M. Mahomed

doi:10.1155/2013/848163

Journal of Applied Mathematics (Jan 2013)

A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations

A. Fatima,
Muhammad Ayub,
F. M. Mahomed

Affiliations

A. Fatima: Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa
Muhammad Ayub: Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan
F. M. Mahomed: Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

DOI: https://doi.org/10.1155/2013/848163
Journal volume & issue: Vol. 2013

Abstract

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We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available.

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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