  In this chapter we have introduced a special type of non-linear equation of
state to discuss the cosmological evolution mechanism. The new equation of
state is a four parameters model which can be represented as
$p=A\rho+B\rho^2-\frac{C}{\rho^{\alpha}}$ where $B=A\beta-\gamma$. The
evolution of universe have been interpreted by fluid dynamics. The
reconstruction of Chaplygin gas and Van-Der-Waals (VDW) fluid equation of
states have been done from the parametric analysis of this new non-linear
model. Different cosmological phases like Quintom, Quintessence and warm
universe have been discussed here. Finally, we have provided a comparative
studies of this model with other non-linear fluid solutions.
