title: Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model.
abstract: We consider the existence of a dynamically stable soliton in the one-dimensional cubic-quintic nonlinear Schrödinger model with strong cubic nonlinearity management for periodic and random modulations. We show that the predictions of the averaged cubic-quintic nonlinear Schrödinger (NLS) equation and modified variational approach for the arrest of collapse coincide. The analytical results are confirmed by numerical simulations of a one-dimensional cubic-quintic NLS equation with a rapidly and strongly varying cubic nonlinearity coefficient.
authors.affiliation: Dipartimento di Fisica "E.R. Caianiello", Universitá di Salerno, 84081 Baronissi, Italy.
authors.forename: Fatkhulla Kh
authors.initials: FKh
authors.lastname: Abdullaev
authors.forename: Josselin
authors.initials: J
authors.lastname: Garnier