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One of the leading candidates for dark matter is axion or axion-like particlein a form of Bose-Einstein condensate (BEC). In this paper, we present ananalysis of 17 high-resolution galactic rotation curves from "TheH{\footnotesize I} Nearby Galaxy Survey (THINGS)" data [F. Walter et al.,Astron. J. 136, 2563 (2008)] in the context of the axionic Bose-Einsteincondensed dark matter model. Assuming a repulsive two-body interaction, wesolve the non-relativistic Gross-Pitaevskii equation for $N$ gravitationallytrapped bosons in the Thomas-Fermi approximation. We obtain the maximumpossible radius $R$ and the mass profile $M(r)$ of a dilute axionicBose-Einstein condensed gas cloud. A standard least-$\chi^2$ method is employedto find the best-fit values of the total mass $M$ of the axion BEC and itsradius $R$. The local mass density of BEC axion dark-matter is $\rho_{a}\simeq0.02~{\rm GeV/cm}^3$, which agrees with that presented by Beck [C. Beck, Phys.Rev. Lett. 111, 231801 (2013)]. The axion mass $m_a$ we obtain depends not onlyon the best-fit value of $R$ but also on the $s$-wave scattering length $a$($m_a \propto a^{1/3}$). The transition temperature $T_a$ of axion BEC ongalactic scales is also estimated. Comparing the calculated $T_a$ with theambient temperature of galaxies and galaxy clusters implies that $a\sim10^{-3}$ fm. The corresponding axion mass is $m_a\simeq 0.58$ meV. We compareour results with others.

Constraints on Bose-Einstein-condensed Axion Dark Matter from The HI Nearby Galaxy Survey data