Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations
Mathematical Physics
2020-01-03 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2001.00167,
title = {Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations},
author = {Olena Vaneeva and Olena Magda and Alexander Zhalij},
journal= {arXiv preprint arXiv:2001.00167},
year = {2020}
}
Comments
12 pages, contribution to the Proceedings of XIII Workshop "Lie Theory and Its Applications in Physics" (Varna, 17-23 June 2019)