This paper studies to secure closed-form optical solitons moving using the optical fibers of the Biswas-Arshed model (BAM) with nonlinear Kerr law using the modified G ’ / G -expansion scheme. The obtained results current optical periodic wave shape, double periodic optical solitons, optical shock wave, the interaction between lump wave shape and periodic optical wave shape, the interaction between rough wave shape and optical soliton wave shapes for the model constructions. We display some two- and three-dimensional results from the nonlinear model under study. In communication sciences and optical fiber communications, mathematical findings plainly show the proposed algorithm’s total honesty and high performance through three-dimensional, two-dimensional, and contour graphical illustration.