On computing linearizing coordinates from the symmetry algebra
Source of Publication
Journal of Lie Theory
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.
Physical Sciences and Mathematics
Lie algebras, Linearization, Ordinary differential equations, Vector fields
Ali, Sajid; Azad, Hassan; Shah, Said Waqas; and Mahomed, Fazal M., "On computing linearizing coordinates from the symmetry algebra" (2021). All Works. 4213.
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