49 citations · 117 across the 12 of their papers we have counts for
6 papers · 1 filter
Linearization through symmetries for discrete equations
Decio Levi, Christian Scimiterna
We show that one can define through the symmetry approach a procedure to check the linearizability of a difference equation via a point or a discrete Cole-Hopf transformation. If t…
Contact transformations for difference schemes
Decio Levi, Zora Thomova, Pavel Winternitz
We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant…
Multiscale reduction of discrete nonlinear Schroedinger equations
D. Levi, M. Petrera, C. Scimiterna
We use a discrete multiscale analysis to study the asymptotic integrability of differential-difference equations. In particular, we show that multiscale perturbation techniques pro…
On the Integrability of the Discrete Nonlinear Schroedinger Equation
Decio Levi, Matteo Petrera, Christian Scimiterna
In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obt…
Multiscale expansion on the lattice and integrability of partial difference equations
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We conjecture an integrability and linearizability test for dispersive Z^2-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from th…
The lattice Schwarzian KdV equation and its symmetries
Decio Levi, Matteo Petrera, Christian Scimiterna
In this paper we present a set of results on the symmetries of the lattice Schwarzian Korteweg-de Vries (lSKdV) equation. We construct the Lie point symmetries and, using its assoc…