Integrability criterion in terms of coprime property for the discrete Toda equation

DOI10.1063/1.4908109zbMath1338.37088arXiv1412.1167OpenAlexW3103185140MaRDI QIDQ5178214

Tetsuji Tokihiro, Masataka Kanki, Jun Mada

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1412.1167

Mathematics Subject Classification ID

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

Related Items (3)

Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation ⋮ Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent properties

Cites Work

• Unnamed Item
• Unnamed Item
• The Laurent phenomenon
• The Painlevé property. One century later
• Algebraic entropy
• Integrable mappings and soliton equations. II
• Cluster algebras I: Foundations
• Tropical geometric interpretation of ultradiscrete singularity confinement
• Irreducibility and co-primeness as an integrability criterion for discrete equations
• Linearizable QRT mappings
• Discrete Painlevé II equation over finite fields
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?
• How to detect integrability in cellular automata
• Singularities of the discrete KdV equation and the Laurent property

This page was built for publication: Integrability criterion in terms of coprime property for the discrete Toda equation