A 3×3 Lax form and $q$-Painleve equations of type $E^{(1)}_6$ (Various aspects of integrable systems)

PARK, Kanam

Bibliographic Information

Other Title

$E^{(1)}_6$型$q$パンルヴェ方程式のラックス形式 (可積分系数理の諸相)

Abstract

In a previous work, the author introduced non-linear q-difference systems which include q-Garnier systems. These systems were given as a compatibility condition of linear q-difference equations whose coefficients were products of N × N matrices. In this paper, we consider a special case with N = 3 and derive a 3×3 matrix Lax form of the q-Painlevé equation of type $E^{(1)}_6$ and two kinds of characterizations of a 3rd-order scalar equation related to it. They seems to be new.

Journal

RIMS Kokyuroku Bessatsu

RIMS Kokyuroku Bessatsu B91 87-102, 2023-02

Research Institute for Mathematical Sciences, Kyoto University

Keywords

Details 詳細情報について

CRID: 1050295724153708288

NII Book ID: AA12196120

HANDLE: 2433/281554

ISSN: 18816193

Text Lang: ja

Article Type: departmental bulletin paper

Data Source

IRDB

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