  We study the Non-Linear Born-Infeld(NLBI) scalar field model and quintessence
model with two different potentials($V(\phi)=-s\phi$ and ${1/2}m^2\phi^2$). We
investigate the differences between those two models. We explore the equation
of state parameter w and the evolution of scale factor $a(t)$ in both NLBI
scalar field and quintessence model. The present age of universe and the
transition redshift are also obtained. We use the Gold dataset of 157 SN-Ia to
constrain the parameters of the two models. All the results show that NLBI
model is slightly superior to quintessence model.
