Parametrization of Born-Infeld Type Phantom Dark Energy Model

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.