%0 Journal Article
%T The Non-integrability of a Silnikov Equation
%A Yanxia Hu
%J Mathematics
%D 2014
%I arXiv
%X Based on the Lie group theory, the one-parameter Lie group admitted by a Silnikov equation is studied. The result reveals that the Silnikov equation accepts no global analytical non-trivial one-parameter Lie group. In this sense, the Silnikov equation is not integrable in quadrature.
%U http://arxiv.org/abs/1403.1925v1