Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax

DOI10.1080/14029251.2019.1613047zbMath1417.37229arXiv1806.08511OpenAlexW2811331579WikidataQ127902726 ScholiaQ127902726MaRDI QIDQ5743366

Jarmo Hietarinta

Publication date: 10 May 2019

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

Full work available at URL: https://arxiv.org/abs/1806.08511

zbMATH Keywords

Bäcklund transformationsmultidimensional consistencylattice equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items

Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation, Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube, From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations, Multi-component extension of CAC systems, Invariants in separated variables: Yang-Baxter, entwining and transfer maps, Algebraic entropy for face-centered quad equations

Cites Work

• Unnamed Item
• Classification of integrable equations on quad-graphs. The consistency approach
• Weak Lax pairs for lattice equations
• Classification of 3D Consistent Quad-Equations
• Continuous symmetries of difference equations
• INTEGRABLE LATTICE MAPS: Q_V, A RATIONAL VERSION OF Q₄
• On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
• Corrigendum: “Classification of 3D Consistent Quad-Equations”