19 citations · 135 across the 25 of their papers we have counts for
5 papers · 1 filter
On Partial Differential and Difference Equations with Symmetries Depending on Arbitrary Functions
Giorgio Gubbiotti, Decio Levi, Christian Scimiterna
In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show on a few examples, both in partial differential an…
Multiple scales approach to the Gas-Piston non-equilibrium themodynamics
D. Chiuchiù, G. Gubbiotti
The non-equilibrium thermodynamics of a gas inside a piston is a conceptually simple problem where analytic results are rare. For example, it is hard to find in the literature anal…
A non autonomous generalization of the equation
Giorgio Gubbiotti, Christian Scimiterna, Decio Levi
In this paper we introduce a non autonomous generalization of the $\QV$ equation introduced by Viallet. All the equations of Boll's classification appear in it for special choices…
The non autonomous YdKN equation and generalized symmetries of Boll equations
Giorgio Gubbiotti, Christian Scimiterna, Decio Levi
In this paper we study the integrability of a class of nonlinear non autonomous quad graph equations compatible around the cube introduced by Boll. We show that all these equations…
Linearizability and fake Lax pair for a consistent around the cube nonlinear non-autonomous quad-graph equation
G. Gubbiotti, C. Scimiterna, D. Levi
We discuss the linearization of a non-autonomous nonlinear partial difference equation belonging to the Boll classification of quad-graph equations consistent around the cube. We s…