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20072025
most citedRecursion operators, conservation laws and integrability conditions for difference equations

61 citations · 332 across the 19 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

nlin.SI2009★ 28 cited

Symmetries and integrability of discrete equations defined on a black-white lattice

P. D. Xenitidis, V. G. Papageorgiou

We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which are naturally defined on a black-white lattice. For each one of these equations,…

nlin.SI2009★ 38 cited

Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case

P. Xenitidis

We consider the partial difference equations of the Adler-Bobenko-Suris classification, which are characterized as multidimensionally consistent. The latter property leads naturall…