A q-analogue of the matrix fifth Painlevé system

2023/01/30 by Hiroshi Kawakami, Kawakami, Hiroshi · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2301.12837

openalex publication_date 2023/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a degeneration of the q-matrix sixth Painlevé system. As a result, we obtain a system of non-linear q-difference equations, which describes a deformation of a certain non-Fuchsian linear q-difference system. We define the spectral type for non-Fuchsian q-difference systems and characterize the associated linear problem in terms of the spectral type. We also consider a continuous limit of the non-linear q-difference system and show that the resulting system of non-linear differential equations coincides with the matrix fifth Painlevé system.

Cited by

• On a non-commutative sixth q-Painlevé system: from discrete system to surface theory

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