A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Fatima A.¹,Ayub Muhammad²,Mahomed F. M.¹

Affiliation:

1. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan

Abstract

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.

Funder

University of the Witwatersrand

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/848163.pdf

Reference11 articles.

1. Applications of Lie Groups to Differential Equations

2. Noether Equivalence Problem for Particle Lagrangians

3. Four Dimensional Lie Symmetry Algebras and Fourth Order Ordinary Differential Equations

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