  We investigate the analytical method in studying the holographic superfluid
model which is described by Maxwell field minimally coupling to a charged
scalar field in a fixed AdS black hole background. We propose a method that
enables us to find exact value of coefficient in the solution and thus obtain
higher-order expansion of the associated Landau free energy of the holographic
superfluid with flow. We determine the critical value of superfluid velocity at
the tricritical point of holographic superfluid and compare it with the
numerical value.
