论文标题
在矩阵PainlevéII方程式上
On matrix Painlevé II equations
论文作者
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.