On Computing Linearizing Coordinates From Symmetry Algebra
Classical Analysis and ODEs
2020-06-25 v2
Abstract
A characterization of the symmetry algebra of the 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 determines up to a point transformation only one linear equation whose symmetry algebra is and an algorithmic procedure is given to find the linearizing coordinates. The procedure is illustrated by several examples from literature.
Cite
@article{arxiv.1810.12334,
title = {On Computing Linearizing Coordinates From Symmetry Algebra},
author = {Sajid Ali and Hassan Azad and Said Waqas Shah and Fazal M. Mahomed},
journal= {arXiv preprint arXiv:1810.12334},
year = {2020}
}