49 citations · 117 across the 12 of their papers we have counts for
17 papers
Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
Giorgio Gubbiotti, Christian Scimiterna
In this paper we construct a non-autonomous version of the Hietarinta equation [Hietarinta J., J. Phys. A: Math. Gen. 37 (2004), L67-L73] and study its integrability properties. We…
Darboux Integrability of Trapezoidal and Families of Lattice Equations II: General Solutions
Giorgio Gubbiotti, Christian Scimiterna, Ravil I. Yamilov
In this paper we construct the general solutions of two families of quad-equations, namely the trapezoidal equations and the equations. These solutions are obtained…
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
Giorgio Gubbiotti, Christian Scimiterna, Decio Levi
We discuss the non autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from…
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…
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…