On symmetry of q-Painlevé equations and associated linear equations

2022/01/19 by Kouichi Takemura, Takemura, Kouichi
Mathematics · Physics and Astronomy · #33E17 #39A13 #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2201.07529

openalex publication_date 2022/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the symmetry of the linear q-difference equations which are associated with some q-Painlevé equations. We apply it for adjustment of the expression of the time evolution on the q-Painlevé equations in terms of the Weyl group symmetry.

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