The purpose of the current article is to present a brief albeit accurate presentation of the
main tools used in the study of symmetries of Lagrange equations for holonomic systems …

Lie's group theory of differential equations unifies the many ad hoc methods known for
solving differential equations and provides powerful new ways to find solutions. The theory …

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 …

Autonomous systems of ordinary differential equations can be rewritten as systems of first
order ordinary differential equations and one of the dependent variables chosen as a new …

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 …

Lie symmetry analysis provides a general theoretical framework for investigating ordinary
and partial differential equations. The theory is completely algorithmic even if it usually …

Integration of second order ordinary differential equations not possessing Lie point
symmetries Page 1 ELSEVIER 24 July 1995 Physics Letters A 203 (1995) 169-174 …

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 …

The PT is applied to the general second-and third-order ordinary differential equations
invariant under the two symmetries associated with time translation and rescaling in order to …