44 citations · 220 across the 19 of their papers we have counts for
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nlin.SI2010★ 44 cited
Generalized symmetry integrability test for discrete equations on the square lattice
D. Levi, R. I. Yamilov
We present an integrability test for discrete equations on the square lattice, which is based on the existence of a generalized symmetry. We apply this test to a number of equation…
nlin.SI2010
Integrability Test for Discrete Equations via Generalized Symmetries
D. Levi, R. I. Yamilov
In this article we present some integrability conditions for partial difference equations obtained using the formal symmetries approach. We apply them to find integrable partial di…
math-ph2010★ 2 cited
Lie point symmetries of differential--difference equations
D. Levi, P. Winternitz, R. Yamilov
We present an algorithm for determining the Lie point symmetries of differential equations on fixed non transforming lattices, i.e. equations involving both continuous and discrete…