Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation

DOI10.1063/1.4973744zbMath1362.37148arXiv1610.02646OpenAlexW2572931541MaRDI QIDQ2963297

Ryo Kamiya, Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro

Publication date: 13 February 2017

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

Full work available at URL: https://arxiv.org/abs/1610.02646

zbMATH Keywords

Laurent polynomialsToda latticethree-dimensional latticeSomos-4 recurrence

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Algebras of unbounded operators; partial algebras of operators (47L60) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

A two-dimensional lattice equation as an extension of the Heideman–Hogan recurrence ⋮ On the coprimeness property of discrete systems without the irreducibility condition ⋮ Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent properties ⋮ Toda type equations over multi-dimensional lattices

Cites Work

• Discrete integrable systems and Poisson algebras from cluster maps
• Cluster mutation-periodic quivers and associated Laurent sequences
• The Laurent phenomenon
• Two-dimensional exactly and completely integrable dynamical systems
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Algebraic entropy
• Investigation into the role of the Laurent property in integrability
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• Irreducibility and co-primeness as an integrability criterion for discrete equations
• Singularity confinement and chaos in two-dimensional discrete systems
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?
• Integrability criterion in terms of coprime property for the discrete Toda equation

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