  The p-wave and $p+ip$-wave holographic superconductors with fixed DC
supercurrent are studied by introducing a non-vanishing vector potential. We
find that close to the critical temperature $T_c$ of zero current, the
numerical results of both the p wave model and the $p+ip$ model are the same as
those of Ginzburg-Landau (G-L) theory, for example, the critical current $j_c
\sim (T_c-T)^{3/2}$ and the phase transition in the presence of a DC current is
a first order transition. Besides the similar results between both models, the
$p+ip$ superconductor shows isotropic behavior for the supercurrent, while the
p-wave superconductor shows anisotropic behavior for the supercurrent.
