Retrieval of solitons in birefringent optical fibers in communication systems with the effect of conformable fractional derivative using an analytic approach

This work is the first to study the concatenation model with conformable fractional derivatives in birefringent fibres, and we give a rich spectrum of optical soliton solutions and many other exact solutions. This concatenation model describes the propagation of solitons in birefringent optical fibres. To achieve this retrieval, the improved modified extended (IME) tanh function technique is utilized, an integration method that generates several soliton solutions and numerous additional solutions. The method captures complicated nonlinear dynamics with greater flexibility than traditional models, providing new insights into pulse propagation characteristics in current optical communication systems. The emergence of soliton solutions automatically determines the respective parameter conditions, which can be easily derived from the types of solution. Outcomes produce a variety of wave forms like bright, dark, and singular solitons, exponential, rational, singular periodic, Jacobi elliptic function solutions, and others. Additionally, the solutions found are utilized to produce a number of interesting 2D and 3D graphs.