Dynamics of M-truncated optical solitons in fiber optics governed by fractional dynamical system

This article focuses to extract the optical solitons in fiber optics modeled by (1 + 1)-dimensional coupled nonlinear Schrödinger equation (NLSE) by the assistance of truncated M -fractional derivative. Circularly polarized waves in fiber optics are described by the studied equation. The NLSEs have attracted greater attention due to their ability to effectively elucidate a diverse array of intricate physical phenomena and their capacity to exhibit deeper dynamical patterns through localised wave solutions. The solutions are obtained using the modified Sardar sub-equation method (MSSEM), which is a recently developed integration technique. Various types of optical pulses, including bright, dark, combo, and singular soliton solutions, are obtained. Considering appropriate parameters, a variety of graph shapes are sketched to describe the graphical presentation of the calculated outcomes. The findings indicate that the chosen technique is effective in improving nonlinear dynamical behaviour. We anticipate that many engineers who use engineering models will find this study to be of interest. The results validate the simplicity, effectiveness, and universality of the selected computational approach, even when applied to complex systems.