General constructions of differential equations with autotransforms are presented. Differential operators connecting a linear case of the Grad – Shafranov equation and the axisymmetric Helmholtz equation are found. Infinite families of exact solutions to both equations are derived.

中文翻译：

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一些微分方程的自变换及其物理应用

介绍了具有自变换的微分方程的一般结构。找到了连接Grad – Shafranov方程和轴对称Helmholtz方程的线性情况的微分算子。得出了两个方程的无穷精确解的族。