Group analysis of variable coefficient generalized fifth-order KdV equations
Mathematical Physics
2015-06-18 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We carry out group analysis of a class of generalized fifth-order Korteweg-de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustively. A criterion of reducibility of variable coefficient fifth-order KdV equations to their constant coefficient counterparts is derived. Some exact solutions are presented.
Cite
@article{arxiv.1401.7155,
title = {Group analysis of variable coefficient generalized fifth-order KdV equations},
author = {Oksana Kuriksha and Severin Pošta and Olena Vaneeva},
journal= {arXiv preprint arXiv:1401.7155},
year = {2015}
}
Comments
8 pages, contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries - SQS'2013" held at the Bogoliubov Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research (Dubna, Russia) from July, 29 to August, 3 of 2013