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Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model
Fatkhulla Kh Abdullaev1, Josselin Garnier
1Dipartimento di Fisica "E.R. Caianiello", Universitá di Salerno, 84081 Baronissi, Italy.
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.
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