We consider nonclassical symmetries of partial differential equations (PDEs) in dimensions. Given a th‐order ordinary differential equation in the unknown we are able to find the most general scalar PDE of a given order which can be reduced via a nonclassical symmetry to .

中文翻译：

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使用对称àRebours

我们考虑偏微分方程（PDE）在尺寸上的非经典对称性。给定未知数中的三阶常微分方程，我们能够找到给定阶的最一般标量PDE，可以通过非经典对称将其简化为。