New optical soliton solutions to the space-time fractional perturbed Chen-Lee-Liu equation

Abstract

The key traits of optical fiber and plasma physics are interpreted by the typical space-time fractional nonlinear perturbed Chen-Lee-Liu equation. The equation is regarded in the sense of beta derivative, and a composite fractional wave transformation is used to reshape it into a nonlinear equation of a single variable. This article aims to compute diverse analytical soliton solutions to the Chen-Lee-Liu equation through the potential (G′/G,1/G)-expansion approach. The solutions include periodic soliton, bell-shaped soliton, anti-peakon, V-shaped soliton, compacton, and others that might be supportive to analyze signal transmission in optical fibers and the properties of plasmas. This research formulates some illustrative solitons to the referred equation that will aid in the study of signal transmission and abridge the complexity of the stated sectors. The three- and two-dimensional graphs are portrayed for different values of the fractional-order derivative to illustrate the impact of the fractional derivative. This study shows the effectiveness and reliability of the adopted strategy.