91 citations · 698 across the 49 of their papers we have counts for
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nlin.SI2012★ 12 cited
Integrability of reductions of the discrete KdV and potential KdV equations
A. N. W. Hone, P. H. van der Kamp, G. R. W. Quispel +1
We study the integrability of mappings obtained as reductions of the discrete Korteweg-de Vries (KdV) equation and of two copies of the discrete potential Korteweg-de Vries equatio…
nlin.SI2012★ 62 cited
Discrete integrable systems and Poisson algebras from cluster maps
Allan Fordy, Andrew Hone
We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1. Such quivers were com…