%0 Journal Article
%T On contact symmetries of evolution equations
%A Qing Huang
%A Renat Zhdanov
%A Changzheng Qu
%J Physics
%D 2013
%I arXiv
%X 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 $n\leq4$, and algebras having nontrivial Levi factors, belonging to the class under consideration, and corresponding contact symmetries they admitted are listed.
%U http://arxiv.org/abs/1301.2097v1