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arXiv 2001.00167math-phmath.MPnlin.SI
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等价群oid与一类广义Kawahara方程的增强群分类

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

Institute of Mathematics of the National Academy of Sciences of Ukraine（乌克兰国家科学院数学研究所）；Vadym Hetman Kyiv National Economic University（瓦迪姆·赫特曼基辅国立经济大学）

Olena Vaneeva, Olena Magda, Alexander Zhalij

备注：
12 pages, contribution to the Proceedings of XIII Workshop "Lie Theory and Its Applications in Physics" (Varna, 17-23 June 2019)
发表信息：
In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2019. Springer Proceedings in Mathematics & Statistics, vol 335. Springer, Singapore
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AI总结：

研究一类具有时间依赖系数的广义Kawahara方程的变换性质，构建其等价群oid并证明该类方程非标准化但可分解为两个不相交的标准化子类，通过合理校准任意元进行完整群分类，填补了以往研究的空白。

摘要：

研究一类具有时间依赖系数的广义Kawahara方程的变换性质，构建其等价群oid并证明该类方程非标准化但可分解为两个不相交的标准化子类，通过合理校准任意元进行完整群分类，填补了以往研究的空白。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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