  We build a holographic superconductor model with a scalar triplet charged
under an SU(2) gauge field in the bulk. In this model, the s-wave and p-wave
condensates can be consistently realized. We find that there are totally four
phases in this model, namely, the normal phase without any condensate, s-wave
phase, p-wave phase and the s+p coexisting phase. By calculating Gibbs free
energy, the s+p coexisting phase turns out to be thermodynamically favored once
it can appear. The phase diagram with the dimension of the scalar operator and
temperature is drawn. The temperature range for the s+p coexisting phase is
very narrow, which shows the competition between the s-wave and p-wave orders
in the superconductor model.
