On matrix Painlevé II equations

Abstract

The Painlevé--Kovalevskaya test is applied to find three matrix versions of the Painlevé II equation. All these equations are interpreted as group-invariant reductions of integrable matrix evolution equations, which makes it possible to construct isomonodromic Lax pairs for them.

13 pages

References in corpus (1)

• Non-Abelian evolution systems with conservation laws

Cited by in corpus (10)

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