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arXiv · 2001.00167

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

Olena Vaneeva·Olena Magda·Alexander Zhalij
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Abstract

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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Olena Vaneeva, Olena Magda, Alexander Zhalij. 2020-01-01. Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations. https://doi.org/10.1007/978-981-15-7775-8_23

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