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Integrable discretisations of the noncommutative NLS equation
S. Konstantinou-Rizos, P. Xenitidis
We show how to derive noncommutative versions of integrable partial difference equations using Darboux transformations. As an illustrative example, we use the nonlinear Schrödinger…
nlin.SI2025
Noncommutative discrete equations, symmetries and reductions
Pavlos Xenitidis
Employing the Lax pairs of the noncommutative discrete potential Korteweg--de Vries (KdV) and Hirota's KdV equations, we derive differential--difference equations that are consiste…