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A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms
(
Elsevier Inc.
, 2016 , Article)
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.
Invariants of third‐order ordinary differential equations y′′′=f(x,y,y′,y′′) via point transformations
(
John Wiley and Sons Ltd
, 2016 , Article)
A new systematic method to find the relative invariant differentiation operators is developed. We incorporate this new approach with Lie's infinitesimal method to study the general class y′′′ = f(x, y, y′, y′′) under general ...