Publications by the Laboratory of Theoretical Physics

Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model, F. Kh. Abdullaev and J. Garnier, Phys. Rev. E 72, 035603(R) (2005).   [PDF-file (94 kB)] 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. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.