20 citations · 50 across the 6 of their papers we have counts for
4 papers · 1 filter
-structures in the integration of involutive distributions
A. J. Pan-Collantes, C. Muriel, A. Ruiz +1
For a system of ordinary differential equations (ODEs) or, more generally, an involutive distribution of vector fields, the problem of its integration is considered. Among the many…
Symmetries and integrability by quadratures
C. Muriel, J. L. Romero, A. Ruiz
It is investigated how two (standard or generalized) symmetries of a given second-order ordinary differential equation can be used to solve the equation by quadratures. The met…
Solvable Structures Associated to the Nonsolvable Symmetry Algebra
Adrián Ruiz, Concepción Muriel
Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra admit solvable structures. These solvable…
Nonlocal Symmetries, Telescopic Vector Fields and -Symmetries of Ordinary Differential Equations
Concepción Muriel, Juan Luis Romero
This paper studies relationships between the order reductions of ordinary differential equations derived by the existence of -symmetries, telescopic vector fields and some nonlo…