Title

On computing linearizing coordinates from the symmetry algebra

Document Type

Article

Source of Publication

Journal of Lie Theory

Publication Date

1-1-2021

Abstract

A characterization of the symmetry algebra of the N th-order ordinary differential equations (ODEs) with maximal symmetry and all third-order linearizable ODEs is given. This is used to show that such an algebra g determines - up to a point transformation - only one linear equation whose symmetry algebra is g and an algorithmic procedure is given to find the linearizing coordinates. This procedure is applied to several examples from the literature.

ISSN

0949-5932

Volume

31

Issue

3

First Page

625

Last Page

635

Disciplines

Physical Sciences and Mathematics

Keywords

Lie algebras, Linearization, Ordinary differential equations, Vector fields

Scopus ID

85105502889

Indexed in Scopus

yes

Open Access

no

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