Lie symmetries of generalized Kawahara equations

TitleLie symmetries of generalized Kawahara equations
Publication TypeJournal Article
Year of Publication2020
AuthorsVaneeva, OO, Zhalij, AY
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published12/2020

We carry out the group classification of a normalized class of generalized Kawahara equations with variable coefficients. Admissible transformations are studied, and the partition of the class into two normalized subclasses is performed. For each of these subclasses, the respective equivalence groupoids are found. As a result, all equations from the class admitting Lie symmetry extensions are revealed.

Keywordsadmissible transformations, equivalence group, equivalence groupoid, group classification, Kawahara equations, Lie symmetries

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