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

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2013 A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations

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

J. Appl. Math. 2013(SI27): 1-4 (2013). DOI: 10.1155/2013/848163

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.

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A. Fatima. Muhammad Ayub. F. M. Mahomed. "A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations." J. Appl. Math. 2013 (SI27) 1 - 4, 2013. https://doi.org/10.1155/2013/848163