6 citations · 12 across the 4 of their papers we have counts for
4 papers
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…
Integrability of Differential-Difference Equations with Discrete Kinks
C. Scimiterna, D. Levi
In this article we discuss a series of models introduced by Barashenkov, Oxtoby and Pelinovsky to describe some discrete approximations to the ϕ^4 theory which preserve travelling…
C-Integrability Test for Discrete Equations via Multiple Scale Expansions
Christian Scimiterna, Decio Levi
In this paper we are extending the well known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example we apply…
Multiscale expansion and integrability properties of the lattice potential KdV equation
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that…