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

Autor:	Vaneeva, Olena, Magda, Olena, Zhalij, Alexander
Rok vydání:	2020
Předmět:	Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems 35A30 35Q53 58J70
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages, contribution to the Proceedings of XIII Workshop "Lie Theory and Its Applications in Physics" (Varna, 17-23 June 2019)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.00167 Zobrazit plný text záznamu View this record from Arxiv