Matrix Painlevé II equations
- 1 May 2021
- journal article
- research article
- Published by Pleiades Publishing Ltd in Theoretical and Mathematical Physics
- Vol. 207 (2) , 560-571
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.Keywords
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