On Computing Linearizing Coordinates From Symmetry Algebra

24 Jun 2020  ·  Ali Sajid, Azad Hassan, Shah Said Waqas, Mahomed Fazal M. ·

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. read more

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Classical Analysis and ODEs