26 citations · 116 across the 19 of their papers we have counts for
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nlin.SI2013★ 8 cited
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Christopher M. Ormerod
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with symmetry. We prese…
nlin.SI2013★ 8 cited
Twisted reductions of integrable lattice equations, and their Lax representations
Christopher M. Ormerod, Peter H. van der Kamp, Jarmo Hietarinta +1
It is well known that from two-dimensional lattice equations one can derive one-dimensional lattice equations by imposing periodicity in some direction. In this paper we generalize…