  Sound velocities in classical single-component fluids with Yukawa (screened
Coulomb) interactions are systematically evaluated and analyzed in one-, two-,
and three spatial dimensions (${\mathcal D}=1,2,3$). In the strongly coupled
regime the convenient sound velocity scale is given by $\sqrt{Q^2/\Delta m}$,
where $Q$ is the particle charge, $m$ is the particle mass, $n$ is the particle
density, and $\Delta=n^{-1/{\mathcal D}}$ is the unified interparticle
distance. The sound velocity can be expressed as a product of this scaling
factor and a dimension-dependent function of the screening parameter,
$\kappa=\Delta/\lambda$, where $\lambda$ is the screening length. A unified
approach is used to derive explicit expressions for these dimension-dependent
functions in the weakly screened regime ($\kappa\lesssim 3$). It is also
demonstrated that for stronger screening ($\kappa\gtrsim 3$), the effect of
spatial dimensionality virtually disappears, the longitudinal sound velocities
approach a common asymptote, and a one-dimensional nearest-neighbor
approximation provides a relatively good estimate for this asymptote. This
result is not specific to the Yukawa potential, but equally applies to other
classical systems with steep repulsive interactions. An emerging relation to a
popular simple freezing indicator is briefly discussed. Overall, the results
can be useful when Yukawa interactions are relevant, in particular, in the
context of complex (dusty) plasmas and colloidal suspensions.
