Work

Matrix Painlevé II equations

Year: 2021

Type: article

Abstract: We use the Painlevé–Kovalevskaya test to find three matrix versions of the Painlevé II equation. We interpret all these equations as group-invariant reductions of integrable matrix evolution equations, which allows constructing isomonodromic Lax pairs for them.

Source: Theoretical and Mathematical Physics

DOI: 10.1134/s0040577921050020

Authors: V. E. Adler, V. V. Sokolov

Institutions: Landau Institute for Theoretical Physics, Universidade Federal do ABC

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3110925713

FWCI: 1.382

Cites: 8

Cited by: 19

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