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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Acknowledgements
O.V. would like to thank all the Organizing Committee of LT-13 and especially Prof. Vladimir Dobrev for the hospitality and support. The authors are grateful to Prof. Roman Popovych for invaluable discussions on the topic and also to the referee and the editor for their suggestions on the improvement of the manuscript. OV acknowledges the financial support of her research within the L’Oréal-UNESCO For Women in Science International Rising Talents Programme.
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Vaneeva, O., Magda, O., Zhalij, A. (2020). Equivalence Groupoid and Enhanced Group Classification of a Class of Generalized Kawahara Equations. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2019. Springer Proceedings in Mathematics & Statistics, vol 335. Springer, Singapore. https://doi.org/10.1007/978-981-15-7775-8_23
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DOI: https://doi.org/10.1007/978-981-15-7775-8_23
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