41 citations · 87 across the 11 of their papers we have counts for
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On the Geometry of Twisted Symmetries: Gauging and Coverings
D. Catalano Ferraioli, G. Gaeta
We consider the theory of \emph{twisted symmetries} of differential equations, in particular and -symmetries, and discuss their geometrical content. We focus on their interp…
Local and nonlocal solvable structures in ODEs reduction
Diego Catalano Ferraioli, Paola Morando
Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable fo…
Nonlocal aspects of -symmetries and ODEs reduction
Diego Catalano Ferraioli
A reduction method of ODEs not possessing Lie point symmetries makes use of the so called -symmetries (C. Muriel and J. L. Romero, \emph{IMA J. Appl. Math.} \textbf{66}, 111-125…
Higher symmetries of the elliptic Euler-Darboux equation
Diego Catalano Ferraioli, Gianni Manno, Fabrizio Pugliese
We find a remarkable subalgebra of higher symmetries of the elliptic Euler-Darboux equation. To this aim we map such equation into its hyperbolic analogue already studied by Shemar…