From Yang-Baxter Maps to Integrable Recurrences

DOI10.1080/14029251.2013.813105zbMath1420.37063OpenAlexW2068373521MaRDI QIDQ5230894

Claude Viallet, Basile Grammaticos, Alfred Ramani

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2013.813105

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Cites Work

• Discrete nonlinear hyperbolic equations. Classification of integrable cases
• On quadrirational Yang-Baxter maps
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings
• Integrable mappings and soliton equations. II
• Classification of integrable equations on quad-graphs. The consistency approach
• The Gambier mapping
• On two integrable lattice equations and their interpretation
• Asymmetric integrable quad-graph equations
• Discrete versions of the Painlevé equations

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