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In this paper, the perturbed Chen–Lee–Liu equation is presented. Sardar subequation method is implemented to retrieve the novel analytical solutions of the given equation. Therefore, some of the optical solitons and other solutions are acquired; besides, constraint conditions are given to guarantee the existence of the obtained solutions. Finally, some of the produced solutions are plotted by the three-dimensional (3D), contour, and two-dimensional (2D) graphs using the suitable values of parameters with the help of the Mathematica in order to indicate the significance of the presented equation.