41 citations · 87 across the 11 of their papers we have counts for
11 papers
A class of third order partial differential equations describing spherical or pseudospherical surfaces
Diego Catalano Ferraioli, Tarcísio Castro Silva
Third order equations, which describe spherical surfaces (ss) or pseudospherical surfaces (pss), of the form \[ ν\,z_{t}-λ\,z_{xxt}=A(z,z_{x},z_{xx})\,z_{xxx}+B(z,z_{x},z_{xx}) \]…
Ricci solitons with an orthogonally intransitive 2-dimensional Abelian Killing algebra
Diego Catalano Ferraioli
In this paper we report on a local classification of four dimensional Ricci solitons which have a -dimensional Abelian Killing algebra , whose Killing leaves ar…
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…
A note on isometric immersions and differential equations which describe pseudospherical surfaces
Diego Catalano Ferraioli, Tarcísio Castro Silva, Keti Tenenblat
In this paper, we provide families of second order non-linear partial differential equations, describing pseudospherical surfaces (pss equations), with the property of having local…
The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors
D. Catalano Ferraioli, M. Marvan
We consider the equivalence problem of four-dimensional semi-Riemannian metrics with the -dimensional Abelian Killing algebra. In the generic case we determine a semi-invariant…
A generalised multicomponent system of Camassa-Holm-Novikov equations
Diego Catalano Ferraioli, Igor Leite Freire
In this paper we introduce a two-component system, depending on a parameter , which generalises the Camassa-Holm () and Novikov equations (). By investigating its Lie…