  The dynamics of quantum droplets in 1D is analyzed on the basis of the
variational approach (VA). It is shown that the VA based on the super-Gaussian
function gives a good approximation of stationary states. The period of small
oscillations of the perturbed droplet is obtained. It is found numerically that
oscillations are almost undamped for many periods. Based on the VA, an
existence of stable localized states for different combinations of signs of
nonlinearities is demonstrated.
