  In this work, we consider a non-quadratic dilaton
$\Phi(z)=(\kappa\,z)^{2-\alpha}$ in the context of the static soft wall model
to describe the mass spectrum of a wide range of vector mesons from the light
up to the heavy sectors. The effect of this non-quadratic approach is
translated into non-linear Regge trajectories with the generic form
$M^2=a\,(n+b)^\nu$. We apply this sort of fits for the isovector states of
$\omega$, $\phi$, $J/\psi$ and $\Upsilon$ mesons and compare with the
corresponding holographic duals. We also extend these ideas to the heavy-light
sector by using the isovector set of parameters to extrapolate the proper
values of $\kappa$ and $\alpha$ through the average constituent mass $\bar{m}$
for each mesonic specie considered. In the same direction, we address the
description of possible non-$q\,\bar{q}$ candidates using $\bar{m}$ as a
holographic threshold, associated with the structure of the exotic state, to
define the values of $\kappa$ and $\alpha$. We study the $\pi_1$ mesons in the
light sector, and the $Z_c$, $Y$ and $Z_b$ mesons in the heavy sector as
possible exotic vector states. Finally, the RMS error for describing these
twenty-seven states with fifteen parameters (four values for $\kappa$ and
$\alpha$ respectively and seven values for $\bar{m}$) is $12.61\%$.
