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

Kyriakos Charalambous; Peter G.L. Leach

doi:10.12785/amis/090309

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

Kyriakos Charalambous, Peter G.L. Leach

Department of Engineering

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1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1175-1180
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	9
Issue number	3
DOIs	https://doi.org/10.12785/amis/090309
Publication status	Published - 2015

Keywords

Algebraic structures
Generalised symmetries
Lie brackets
Nth-order scalar ODEs

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10.12785/amis/090309

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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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AB - 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.

KW - Algebraic structures

KW - Generalised symmetries

KW - Lie brackets

KW - Nth-order scalar ODEs

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

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Keywords

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