20 citations · 20 across the 1 of their papers we have counts for
2 papers
math.CA2016
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…
math.CA2012★ 20 cited
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…