A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

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摘要

We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms.

论文关键词：ODEs,Three-dimensional symmetry algebras,Point transformations,Canonical forms

论文评审过程：Received 2 November 2015, Revised 20 March 2016, Accepted 18 May 2016, Available online 7 June 2016, Version of Record 7 June 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.05.035