39 citations · 90 across the 6 of their papers we have counts for
6 papers
On the integrability of a new lattice equation found by multiple scale analysis
C. Scimiterna, M. Hay, D. Levi
In this paper we discuss the integrability properties of a nonlinear partial difference equation on the square obtained by the multiple scale integrability test from a class of mul…
Symmetries of the Continuous and Discrete Krichever-Novikov Equation
Decio Levi, Pavel Winternitz, Ravil I. Yamilov
A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discre…
Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
Decio Levi, Christian Scimiterna
In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We app…
On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
Decio Levi, Matteo Petrera, Christian Scimiterna +1
We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schröd…
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…
Asymptotic symmetries of difference equations on a lattice
G. Gaeta, D. Levi, R. Mancinelli
It is known that many equations of interest in Mathematical Physics display solutions which are only asymptotically invariant under transformations (e.g. scaling and/or translation…