Higher-order generalizations of the A₆⁽¹⁾- and A₄⁽¹⁾-surface type q-Painlevé equations

2023/04/07 by Nobutaka Nakazono, Nakazono, Nobutaka · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2304.03467

openalex publication_date 2023/04/07 · openalex created_date 2023/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct higher-order generalizations of the A₆⁽¹⁾- and A₄⁽¹⁾-surface type q-Painlevé equations from the system of partial difference equations with the consistency around a cube property by periodic reduction. Moreover, we also show their extended affine Weyl group symmetries and Lax pairs.

Cited by

• On the geometry of a 4-dimensional extension of a q-Painlevé I equation with symmetry type A₁⁽¹⁾

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