  In this paper, we derive some new invariant solutions of dark energy models
in cylindrically symmetric space-time. To quantify the deviation of pressure
from isotropy, we introduce three different time dependent skewness parameters
along the spatial directions. The matter source consists of dark energy which
is minimally interact with perfect fluid. We use symmetry analysis method for
solving the non-linear partial differential equations (NLPDEs) which is more
powerful than the classical methods of solving NLPDEs. The geometrical and
kinematical features of the models and the behaviour of the anisotropy of dark
energy, are examined in detail.
