39 citations · 90 across the 6 of their papers we have counts for
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nlin.SI2014★ 20 cited
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…
nlin.SI2011★ 14 cited
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…
nlin.SI2011★ 14 cited
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…