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The Scalar Field Dark Matter model has been known in various ways throughoutits history; Fuzzy, BEC, Wave, Ultralight, Axion-like Dark Matter, etc. All ofthem consist in proposing that the dark matter of the universe is a spinlessfield $\Phi$ that follows the Klein-Gordon (KG) equation of motion$\Box\Phi-dV/d\Phi=0$, for a given scalar field potential $V$. The differencebetween different models is sometimes the choice of the scalar field potential$V$. In the literature we find that people usually work in the nonrelativistic,weak-field limit of the KG equation where it transforms into the Schr\"odingerequation and the Einstein equations into the Poisson equation, reducing theKG-Einstein system, to the Schr\"odinger-Poisson system. In this paper, wereview some of the most interesting achievements of this model from thehistorical point of view and its comparison with observations, showing thatthis model could be the last answer to the question about the nature of darkmatter in the universe.

Short Review of the main achievements of the Scalar Field, Fuzzy, Ultralight, Wave, BEC Dark Matter model