  We explore the dynamics and interactions of multiple bright droplets and
bubbles, as well as the interactions of kinks with droplets and with antikinks,
in the extended one-dimensional Gross-Pitaevskii model including the
Lee-Huang-Yang correction. Existence regions are identified for the
one-dimensional droplets and bubbles in terms of their chemical potential,
verifying the stability of the droplets and exposing the instability of the
bubbles. The limiting case of the droplet family is a stable kink. The
interactions between droplets demonstrate in-phase (out-of-phase) attraction
(repulsion), with the so-called Manton's method explicating the observed
dynamical response, and mixed behavior for intermediate values of the phase
shift. Droplets bearing different chemical potentials experience mass-exchange
phenomena. Individual bubbles exhibit core expansion and mutual attraction
prior to their destabilization. Droplets interacting with kinks are absorbed by
them, a process accompanied by the emission of dispersive shock waves and gray
solitons. Kink-antikink interactions are repulsive, generating
counter-propagating shock waves. Our findings reveal dynamical features of
droplets and kinks that can be detected in current experiments.
