Integrable discretisations of the noncommutative NLS equation

Konstantinou-Rizos, S and Xenitidis, Pavlos (2026) Integrable discretisations of the noncommutative NLS equation. Journal of Physics A: Mathematical and Theoretical, 59 (4). ISSN 1751-8113

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Abstract

We show how to derive noncommutative versions of integrable partial difference equations using Darboux transformations. As an illustrative example, we use the nonlinear Schrödinger system. We derive a noncommutative nonlinear Schrödinger equation and we construct its integrable discretisations via the compatibility condition of Darboux transformations around the square. In particular, we construct a noncommutative Adler–Yamilov type system and a noncommutative discrete Toda equation. For the noncommutative Adler–Yamilov type system we construct Bäcklund transformations.

Item Type:	Article
Faculty / Department:	Faculty of Human and Digital Sciences > School of Computer Science and the Environment
Depositing User:	Pavlos Xenitidis
Date Deposited:	11 Feb 2026 12:22
Last Modified:	11 Feb 2026 12:22
URI:	https://hira.hope.ac.uk/id/eprint/4837

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