On solutions for some class of integrable difference equations

DOI10.1080/10236198.2021.2012169zbMath1481.39017arXiv2106.00539OpenAlexW3168264900MaRDI QIDQ5023849

Andrei K. Svinin

Publication date: 25 January 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00539

zbMATH Keywords

first integralsintegrablerecurrent relationsSomos-4 equation

Mathematics Subject Classification ID

Recurrences (11B37) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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• Cluster mutation-periodic quivers and associated Laurent sequences
• Integrable symplectic maps
• On reductions of the Hirota-Miwa equation
• Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations
• Discrete Painlevé equations from Y-systems
• On integrals for some class of ordinary difference equations admitting a Lax representation
• Integrable maps
• Some integrable maps and their Hirota bilinear forms
• A novelnth order difference equation that may be integrable
• On some classes of discrete polynomials and ordinary difference equations
• Functional Representation of the Volterra Hierarchy

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