  In the probe limit, we numerically construct a holographic p-wave superfluid
model in the 4D and 5D AdS black holes coupled to a Maxwell-complex vector
field.
  We find that, for the condensate with the fixed superfluid velocity, the
results are similar to the s-wave cases in both 4D and 5D spacetimes. In
particular, "The Cave of Winds" and the phase transition always being the
second order take place in the 5D case. Moreover, we find the second-first
order translating point $\frac{S_y}{\mu}$ increases with the mass squared.
Furthermore, for the supercurrent with the fixed temperature, the results agree
with the GL prediction near the critical temperature. In addition, this complex
vector superfluid model is still a generalization of the SU(2) superfluid
model, and also provides a holographic realization of the $He_3$ superfluid
system.
