Laurent phenomenon algebras and the discrete BKP equation

DOI10.1088/1751-8113/49/35/355201zbMATH Open1354.39006arXiv1605.00780OpenAlexW2346631579MaRDI QIDQ2834775

Naoto Okubo

Publication date: 24 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We construct the Laurent phenomenon algebras the cluster variables of which satisfy the discrete BKP equation and other difference equations obtained by its reduction. These Laurent phenomenon algebras are constructed from seeds with a generalization of mutation-period property. We show that a reduction of a seed corresponds to a reduction of a difference equation.

Full work available at URL: https://arxiv.org/abs/1605.00780

zbMATH Keywords

difference equationdiscrete integrable systemdiscrete BKP equationLaurent phenomenon algebraSomos-7 equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

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