By using the direct method, we obtain the complete classification of equivalence transformations for a class of fifth-order partial differential equation with variable-coefficients. The usual and generalized extended equivalence groups of six disjoint normalized subclasses are presented. Furthermore, with the application of equivalence transformations, the number of variable coefficients is reduced and the transformational properties of the gauged subclasses are proposed.

中文翻译：

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变系数五阶偏微分方程的等价变换

利用直接法，我们得到了一类变系数五阶偏微分方程等价变换的完整分类。介绍了六个不相交的归一化子类的通常和广义扩展等价群。此外，随着等价变换的应用，可变系数的数量减少了，并提出了规范子类的变换特性。