  In this article, we examine the equation of state (EoS) dependence of the
anisotropic flow parameters ($v_{1}$, $v_{2}$ and $v_{4}$) of charged and
identified hadrons, as a function of transverse momentum ($p_{\rm T}$),
rapidity ($y_{c.m.}$) and the incident beam energy ($\rm E_{\rm Lab}$) in
mid-central Au + Au collisions in the energy range $\rm E_{\rm Lab} = 6 -25$ A
GeV. Simulations are carried out by employing different variants of the
Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model, namely the pure
transport (cascade) mode and the hybrid mode. In the hybrid mode, transport
calculations are coupled with the ideal hydrodynamical evolution. Within the
hydrodynamic scenario, two different equations of state (EoS) viz. Hadron gas
and Chiral + deconfinement EoS have been employed separately to possibly mimic
the hadronic and partonic scenarios, respectively. It is observed that the flow
parameters are sensitive to the onset of hydrodynamic expansion of the fireball
in comparison to the pure transport approach. The results would be useful as
predictions for the upcoming low energy experiments at Facility for Antiproton
and Ion Research (FAIR) and Nuclotron-based Ion Collider fAcility (NICA).
