An optimal system and invariant solutions of dark energy Models in cylindrically symmetric space-time

摘要

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