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nlin.SI2015
graded discrete Lax pairs and Yang-Baxter maps
Allan P. Fordy, Pavlos Xenitidis
We recently introduced a class of graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In this paper we introduce…
nlin.SI2015★ 33 cited
Reduction groups and related integrable difference systems of NLS type
S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinger type equations. We consider all possible finite reduction groups and construct…