Group classification of variable coefficient generalized Kawahara equations
Mathematical Physics
2014-01-07 v2 math.MP
Abstract
An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting Lie symmetry extensions. All inequivalent Lie reductions of these equations to ordinary differential equations are performed. We also present some examples on the construction of exact and numerical solutions.
Cite
@article{arxiv.1309.7161,
title = {Group classification of variable coefficient generalized Kawahara equations},
author = {Oksana Kuriksha and Severin Pošta and Olena Vaneeva},
journal= {arXiv preprint arXiv:1309.7161},
year = {2014}
}
Comments
18 pages, 5 figures; the version accepted to J. Phys. A: Math. Theor