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2020-12-10
On matrix Painlev\'e II equations
V. E. AdlerV. V. Sokolov
文献摘要
The Painlev'e–Kovalevskaya test is applied to find three matrix versions of the Painlev'e 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.
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