  We study gravitational stealth configurations emerging on a charged dilatonic
$(1+1)$-D black hole spacetime. We accomplish this by considering the coupling
of a non-minimally scalar field $\phi$ and a self-interacting scalar field
$\Psi$ living in a $(1+1)$-D charged black hole background. In addition, the
self-interacting potential for $\Psi$ is obtained which exhibits transitions
for some specific values of the non-minimal parameter. Atypically, we found
that the solutions for these stealth scalar fields do not have a dependence on
the temporal coordinate.
