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Darboux transformations with tetrahedral reduction group and related integrable systems
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In this paper, we derive new two-component integrable differential difference and partial difference systems by applying a Lax-Darboux scheme to an operator formed from an 𝔰𝔩3(ℂ)-based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries.
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