Yang-Baxter maps associated to elliptic curves
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math-phmath.MPnlin.SI
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equationsassociatedcurvesellipticmapsyang-baxterdiscreteintegrable
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We present Yang-Baxter maps associated to elliptic curves. They are related to discrete versions of the Krichever-Novikov and the Landau-Lifshits equations. A lifting of scalar integrable quad-graph equations to two-field equations is also shown.
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