Dynamics of quasicollapse in nonlinear Schrodinger systems with nonlocal interactions

We study the effect of nonlocality on some dynamical properties of a self focusing nonlocal nonlinear Schrodinger system. Using a combination of moment techniques, time dependent variational methods, and numerical simulations, we present evidence in support of the hypothesis that nonlocal attractively interacting condensates cannot collapse under very general forms of the interaction. Instead then appear oscillations of the wave packer with a localized component whose size is of the order of the range of interactions. We discuss the implications of the results to collapse phenomena in Bose-Einstein condensates.