Abstract
We present two lists of two-component systems of integrable difference equations defined on the edges of the Z 2 graph. The integrability of these systems is manifested by their Lax formulation which is a consequence of the multi-dimensional compatibility of these systems. Imposing constraints consistent with the systems of difference equations, we recover known integrable quad-equations including the discrete version of the Krichever–Novikov equation. The systems of difference equations give us in turn quadrirational Yang–Baxter maps.
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Schedule a callMore From: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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