Lie symmetries of generalized Kawahara equations

1Vaneeva, OO
Zhalij, AY
1Institute of Mathematics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2020, 12:3-10
Section: Mathematics
Language: Ukrainian

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.

Keywords: admissible transformations, equivalence group, equivalence groupoid, group classification, Kawahara equations, Lie symmetries

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