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arXiv · 1605.00829

On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations

Frank Nijhoff·Neslihan Delice
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Abstract

In a previous article [N. Delice, F.W. Nijhoff and S. Yoo-Kong, J. Phys. A: Math. Theor. 48(3) (2015), 035206] a novel class of elliptic Lax pairs for integrable lattice equations was introduced. The present article proposes a de-autonomisation of those Lax pairs leading to a class of elliptic discrete isomonodromic deformation problems. We analyse the systems of compatibility conditions using some (possibly novel) higher order elliptic identities.

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Frank Nijhoff, Neslihan Delice. 2016-05-03. On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations. https://arxiv.org/abs/1605.00829

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