Lie symmetry analysis of differential equations provides a powerful and fundamental
framework to the exploitation of systematic procedures leading to the integration by …

Nonlinear ordinary differential equations: A discussion on symmetries and singularities Page 1
International Journal of Geometric Methods in Modern Physics Vol. 13, No. 7 (2016) 1630009 …

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving
nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems …

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 …

A standard method based on the use of differential invariants of a Lie group, Script G,
enables us to reduce any ordinary differential equation invariant under the action of Script G …

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 …

The class of nonlinear second-order equations that are linearizable by means of
generalized Sundman transformations (S-transformations) is identified as the class of …

Here we present a new approach to compute symmetries of rational second order ordinary
differential equations (rational 2ODEs). This method can compute Lie symmetries (point …

An integrable SIS model Page 1 J. Math. Anal. Appl. 290 (2004) 506–518 www.elsevier.com/locate/jmaa
An integrable SIS model MC Nucci ∗ and PGL Leach1 Dipartimento di Matematica e …

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