Optical solitons in saturable cubic-quintic nonlinear media with nonlinear dispersion

Abstract

We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width and demonstrate how the saturation due to nonlinearity is achieved in presence of nonlinear dispersion. We find that the nonlinear dispersion can change the pulse width and induce motion in the system. The direction of induced motion depends on the sign of nonlinear dispersion. The pulse is energetically stable at an equilibrium width. A disturbance can, however, induce oscillation in pulse width, the frequency of which is always smaller due to nonlinear dispersion. We check dynamical stability by a direct numerical simulation.

arXiv comment7 pages, 5 figures

References in corpus (3)

• Coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media
• Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices
• Variational approach to study soliton dynamics in a passive fiber loop resonator with coherently driven phase-modulated external field