Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers.

The nonlinear Schrödinger equation is a useful physical model for exploring variations in optical solitary wave behavior. The study of novel optical solitary waves is extremely important today due to its potential uses in ultrafast signal routing and short-duration light pulses for communication. In this work, we present an analytical examination of the time-fractional perturbed dynamical model, which demonstrates ultrafast wave transmission across optical fibers. By taking advantage of the newly extended direct algebraic scheme, we obtain a wide range of optical soliton solutions for the considered model. To acquire a deeper understanding of the mechanics, the findings encountered here are presented in 2D-, 3D-, and contour representations. The specific characteristics of the computing efficiency for our technique illustrate its relevance to diverse nonlinear equations encountered in various fields of physical engineering and mathematical physics. Utilizing symbolic computing with MATLAB software, we also demonstrated the dynamical exploration of solitons generated with different parameter values using numerical simulation. Optical solitons can be found in various fields such as optical fibers, plasma physics, optical communication, soliton theory, and others.