Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces

Author:

Bobrova I. A.1ORCID

Affiliation:

1. National Research University Higher School of Economics , Moscow, Russian Federation

Abstract

In this paper, we discuss a connection between different linearizations for non-abelian analogs of the second Painlevé equation. For each of the analogs, we listed the pairs of the Harnard–Tracy–Widom (HTW), Flaschka–Newell (FN), and Jimbo–Miwa (JM) types. A method for establishing the HTW-JM correspondence is suggested. For one of the non-abelian analogs, we derive the corresponding non-abelian generalizations of the monodromy surfaces related to the FN- and JM-type linearizations. A natural Poisson structure associated with these monodromy surfaces is also discussed.

Funder

RF Government Grant

Young Russian Mathematics Award

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference30 articles.

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4. Non-abelian Painlevé systems with generalized Okamoto integral,2023

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