On computing linearizing coordinates from the symmetry algebra

Author First name, Last name, Institution

Sajid Ali, Zayed University
Hassan Azad, Abdus Salam School of Mathematical Sciences
Said Waqas Shah, Abdus Salam School of Mathematical Sciences
Fazal M. Mahomed, University of Witwatersrand

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

Recommended Citation

Ali, Sajid; Azad, Hassan; Shah, Said Waqas; and Mahomed, Fazal M., "On computing linearizing coordinates from the symmetry algebra" (2021). All Works. 4213.
https://zuscholars.zu.ac.ae/works/4213

Indexed in Scopus

yes

Open Access

no