From Yang-Baxter maps to integrable quad maps and recurrences

2012/06/06 by B. Grammaticos, A. Ramani, Grammaticos, B. +3
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1206.1217

arxiv created 2012/06/06 · arxiv updated 2012/06/07

Abstract

Starting from known solutions of the functional Yang-Baxter equations, we exhibit Miura type of transformations leading to various known integrable quad equations. We then construct, from the same list of Yang-Baxter maps, a series of non-autonomous solvable recurrences of order two.

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