  Solitonic excitations of the one-dimensional quantum droplets are obtained,
which smoothly connect vacuum with the flat-top droplet, akin to compactons in
classical liquids. These solitons are of the kink type, necessarily residing on
a constant pedestal, determined by the mean-field repulsion and beyond mean
field quantum correction and having exactly one-third of the uniform condensate
amplitude. Akin to the kinks, the propagating modes occur in pairs and are
phase-locked with the background. The lowest chemical potential and condensate
amplitude at the flat-top boundary matches with the self-trapped quantum
droplet. More general excitations of analogous kind are obtained through the
M\"obius transform, which connect the required solutions to elliptic functions
in general.
