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

TL;DR

This paper investigates how nonlinear dispersion affects the propagation and stability of optical solitons in saturable cubic-quintic nonlinear media, revealing changes in pulse width, induced motion, and stability characteristics.

Contribution

It introduces an extended variational approach to analyze pulse dynamics considering nonlinear dispersion effects in saturable cubic-quintic media.

Findings

Nonlinear dispersion alters pulse width and induces motion.

Pulse stability depends on equilibrium conditions and nonlinear dispersion.

Oscillation frequency of pulse width disturbances decreases 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.