Algebraic structures of generalised symmetries of n th-order scalar ordinary differential equations of maximal lie point symmetry

Charalambous, K.Leach, P. G. L.2016-04-292016-04-292015-05-01Charalambous, 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. 1175-1180.2325-0399http://hdl.handle.net/10321/1477We 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.6 penGeneralised symmetriesnth-order scalar ODEsalgebraic structuresLie Brackets MSC 2010 Numbers: 34A3034C14Algebraic structures of generalised symmetries of n th-order scalar ordinary differential equations of maximal lie point symmetryArticle