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

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