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arXiv · 1810.12334

On Computing Linearizing Coordinates From Symmetry Algebra

Sajid Ali·Hassan Azad·Said Waqas Shah·Fazal M. Mahomed
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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 $\mathfrak{g}$ determines $-$ up to a point transformation $-$ only one linear equation whose symmetry algebra is $\mathfrak{g}$ and an algorithmic procedure is given to find the linearizing coordinates. The procedure is illustrated by several examples from literature.

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Sajid Ali, Hassan Azad, Said Waqas Shah, Fazal M. Mahomed. 2018-10-29. On Computing Linearizing Coordinates From Symmetry Algebra. https://arxiv.org/abs/1810.12334

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