On Computing Linearizing Coordinates From Symmetry Algebra

2018/10/29 by Ali, Sajid, Azad, Hassan, Shah, Said Waqas +1
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.12334

Abstract

A characterization of the symmetry algebra of the nth 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 \mathfrakg determines - up to a point transformation - only one linear equation whose symmetry algebra is \mathfrakg and an algorithmic procedure is given to find the linearizing coordinates. The procedure is illustrated by several examples from literature.

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