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

Kyriakos Charalambous, Peter G.L. Leach

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1175-1180
Number of pages6
JournalApplied Mathematics and Information Sciences
Volume9
Issue number3
DOIs
Publication statusPublished - 2015

Keywords

  • Algebraic structures
  • Generalised symmetries
  • Lie brackets
  • Nth-order scalar ODEs

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