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.
"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