Algebraic structures of generalised symmetries of n th-order scalar ordinary differential equations of maximal lie point symmetry
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Natural Sciences Publishing
Abstract
We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted.
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Charalambous, K. and Leach, P. G. L. 2015. Algebraic structures of generalised symmetries of n th-order scalar ordinary differential equations of maximal lie point symmetry. Applied Mathematics & Information Sciences, 9(3) pp. 1175-1180.