Applying the parametrization of dark energy density, we can construct
directly independent-model potentials. In Born-Infeld type phantom dark energy
model, we consider four special parametrization equation of state parameter.
The evolutive behavior of dark energy density with respect to red-shift z,
potentials with respect to ϕ and z are shown mathematically. Moreover,
we investigate the effect of parameter η upon the evolution of the
constructed potential with respect to z. These results show that the
evolutive behavior of constructed Born-Infeld type dark energy model is quite
different from those of the other models.Comment: 5 pages, 4 figures, Accepted for publication in Astrophysics & Space
Scienc