49 citations · 117 across the 12 of their papers we have counts for
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nlin.SI2017★ 2 cited
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…
nlin.SI2017★ 19 cited
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…