It is proved that several usual methods of reduction for ordinary differential equations, that do
not come from the Lie theory, are derived from the existence of C∞− symmetries. This kind …

Linearisable Third-Order Ordinary Differential Equations and Generalised Sundman
Transformations: The Case <Emphasis Type=&qu Page 1 Acta Applicandae Mathematicae 76 …

Hidden symmetries of ordinary differential equations (ODEs) are studied with nonlocal group
generators. General forms are given for an exponential nonlocal group generator of an ODE …

This paper studies relationships between the order reductions of ordinary differential
equations derived by the existence of λ-symmetries, telescopic vector fields and some …

The concept and use of recursion operators is well-established in the study of evolution, in
particular nonlinear, equations. We demonstrate the application of the idea of recursion …

We consider the solution of a class of second-order ordinary differential equations not
possessing Lie point symmetries by group theoretic means. The method involves increasing …

If an ordinary differential equation admits the non‐solvable Lie algebra sl (2, R) as symmetry
algebra then, when the classical Lie method of reduction is applied, at least one of its …

A model 'remarkable'fin equation is singled out from a class of nonlinear (1+ 1)-dimensional
fin equations. For this equation a number of exact solutions are constructed by means of …

The concept of the complete symmetry group of a differential equation introduced by J.
Krause (1994, J. Math. Phys. 35, 5734–5748) is extended to integrals of such equations …

The provenance of Type II hidden point symmetries of differential equations reduced from
nonlinear partial differential equations is analyzed. The hidden symmetries are extra …