论文标题

在矩阵PainlevéII方程式上

On matrix Painlevé II equations

论文作者

Adler, V. E., Sokolov, V. V.

论文摘要

Painlevé-Kovalevskaya测试用于查找PainlevéII方程的三个矩阵版本。所有这些方程都被解释为可集成基质进化方程的群体不变降低,这使得为它们构造等异吞lax对成为可能。

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.

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