  We study the cosmological evolution for a scalar field dark matter model, by
considering a parameterization of the evolution equations that allow us to
unify in a single parameter a family of potentials: quadratic (free case),
trigonometric (Axion-like case), and hyperbolic. After exploring the
cosmological dynamics of this model, we perform a statistical analysis to study
the viability of such model in comparison with the standard Cold Dark Matter
model. We found that the free case is preferred over the other scalar field
potentials, but in any case all of them are disfavored by the cosmological
observations with respect to the standard model.
