Optical solitons and other wave solutions to fractional-order nonlinear Sasa–Satsuma equation in mono-mode optical fibers using IM extended tanh function method

The primary objective of this paper is to study the short wave pulses propagation through mono-mode optical fibers. To study these optical pulses, the fractional Sasa–Satsuma model with beta derivatives is considered. The improved modified extended tanh function method, which offers several types of solutions, is used to perform the study. These solutions involving singular, dark and bright solitons. In addition, singular periodic, Weierstrass elliptic and hyperbolic solutions are raised. To illustrate the properties of some solutions, graphic representations of those solutions are given.