Abstract
In this study, the Fokas system which represents the spread of irregular pulse in monomode optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This method is the most powerful technique to explore solutions for a wide range of various models. As a result, different solutions such as dark–bright, singular, bright, Jacobi elliptic function, and exponential solutions are obtained. In addition, 3D and 2D graphics for the obtained solutions are investigated with the assist of a computer program by assigning particular values to the parameters involved.
•New structures of optical solitons for the Fokas system were constructed.•The solutions of this model are found using the Jacobi elliptic function expansion method.•The Physical meaning for the obtained solutions is graphically investigated.