Assorted optical soliton solutions of the nonlinear fractional model in optical fibers possessing beta derivative

The nonlinear Chen-Lee-Liu (CLL) equation is an important mathematical model that is employed in the evaluation of optical fiber communication systems. It considers several factors such as noise, dispersion, and nonlinearity that might affect the signal quality and data transmission rates in optical fiber networks. The design of optical fiber systems may be optimized by using the CLL model. In this paper, we have examined adequate soliton solutions that can be applied to the optics of the CLL model with a beta derivative utilizing the auxiliary equation and advanced generalized G' / G -expansion approaches. The bell-shaped, periodic, and other soliton-like properties are displayed in the numerical simulations of the resultant solutions and the necessary forms demonstrated the structure, propagation, and impact of the fractional parameter. The findings of this study show that the applied methodologies are dependable, effective, and competent to create optical soliton solutions for additional complex wave equations in optical fiber communication.