2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121919We study the Non-Linear Born-Infeld(NLBI) scalar field model and quintessence model with two different potentials($V(ϕ)=-sϕ$ and ${1/2}m^2ϕ^2$). 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.17 pages, 10 figures, some references addedHigh Energy Physics - TheoryAstrophysicsGeneral Relativity and Quantum Cosmologytext