Geodesic
Matrix Painlevé II equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 2, pp. 188-201 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Painlevé equation
Keywords: Lax representation, symmetric reduction. 
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V. E. Adler; V. V. Sokolov. Matrix Painlevé II equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 2, pp. 188-201. http://geodesic.mathdoc.fr/item/TMF_2021_207_2_a1/

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