Nonlinear ordinary differential equations of the new hierarchy are considered. We demonstrate that although the equations of this hierarchy are similar in appearance to the equations of the first Painlevé hierarchy, they have the different Lax pairs. An algorithm for constructing the Lax pairs of equations of a new hierarchy is proposed. This algorithm is illustrated for the first, second, third, and fourth members for the hierarchy.

中文翻译：

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与第一个Painlevé层次结构相似的层次结构中的松散对

考虑了新层次的非线性常微分方程。我们证明，尽管此层次结构的方程在外观上与第一个Painlevé层次结构的方程相似，但它们具有不同的Lax对。提出了一种构造新层次方程的Lax对的算法。针对该层次结构的第一，第二，第三和第四成员说明了该算法。