论文标题

等效类固醇和增强的一类广义kawahara方程的组分类

Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations

论文作者

Vaneeva, Olena, Magda, Olena, Zhalij, Alexander

论文摘要

研究了一类具有时间依赖系数的广义kawahara方程的转化特性。我们构建了类的等效群体,并证明该类别未归一化,而可以作为两个不相交的亚类的结合。使用所获得的结果并正确评估了类的任意要素,我们进行了完整的小组分类,该分类涵盖了先前关于该主题的差距。

Transformation properties of a class of generalized Kawahara equations with time-dependent coefficients are studied. We construct the equivalence groupoid of the class and prove that this class is not normalized but can be presented as a union of two disjoint normalized subclasses. Using the obtained results and properly gauging the arbitrary elements of the class, we carry out its complete group classification, which covers gaps in the previous works on the subject.

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