Effects of high dispersion and generalized non-local laws on optical soliton perturbations in magneto-optic waveguides with sextic-power law refractive index

This article investigates the dynamics of optical solitons in a magneto-optic waveguide with the nonlinear perturbed Schrödinger equation. The model incorporates two generalized nonlocal laws, a Kudryashov’s sextic-power law nonlinear structure, and high dispersion up to the sixth-order dispersion. The proposed innovative model ensures that all the obtained solutions are original and have not been reported elsewhere. The impetus for this work is the recognition of the crucial significance of studying nonlinear magneto-optical interactions in optical communication systems. The nonlinear Schrödinger equation and its derivatives play crucial roles in various scientific areas, particularly in the field of nonlinear optics and optical fibers. In order to investigate the new structure of our model, we utilize the \(\left( \frac{Z'}{Z}\right) \) $\left(\frac{Z^{\prime }}{Z}\right)$ -expansion technique and the enhanced Kudrtashov’s method. The solitons obtained are of several types, including bright, singular, and combinations thereof as well as kink-type solution. The strategies utilized are efficacious and distinctive tools in their methodologies and results. To further elucidate the dynamics of the acquired solitons, we offer a discussion section where we present plots of specific solitons.