On contact symmetries of evolution equations
Mathematical Physics
2013-01-11 v1 math.MP
Abstract
In this paper, we develop an algebraic approach to classifying contact symmetries of the second-order nonlinear evolution equations. Up to contact isomorphisms, all inequivalent PDEs admitting semi-simple algebras, solvable algebras of dimension , and algebras having nontrivial Levi factors, belonging to the class under consideration, and corresponding contact symmetries they admitted are listed.
Cite
@article{arxiv.1301.2097,
title = {On contact symmetries of evolution equations},
author = {Qing Huang and Renat Zhdanov and Changzheng Qu},
journal= {arXiv preprint arXiv:1301.2097},
year = {2013}
}
Comments
33 pages