41 citations · 87 across the 11 of their papers we have counts for
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math.DG2008★ 1 cited
Differential invariants of generic parabolic Monge-Ampere equations
Diego Catalano Ferraioli, Alexandre Vinogradov
Some new results on geometry of classical parabolic Monge-Ampère equations (PMA) are presented. PMAs are either \emph{integrable}, or \emph{nonintegrable} according to integrabilit…
math-ph2008★ 37 cited
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…