The current article explores the new optical solutions of the conformable fractional perturbed Gerdjikov-Ivanov (pGI) equation. The tanh method and the tanh-coth method have been applied for obtaining new solitary wave solutions. As a result, many previously known results of the conformable fractional pGI equation can be recovered by applying some appropriate choices of the arbitrary functions and arbitrary constants. This equation has several applications in photonic crystal fibers and also shows a momentous role in nonlinear fiber optics. The attained solutions address the diverse type of optical solutions in the form of 3D-plots, contour plots, and 2D-plots, specifying the free parameters accompanied by mandatory limitations to the confirm existence of such optical soliton solutions and to understand the dynamic behavior of these solutions. The obtained results reconfirm the worth and effectiveness of the used methods and are attractive for researchers for understanding the complexity of the considered model.

本文探讨了适形分数扰动Gerdjikov-Ivanov（pGI）方程的新光学解决方案。tanh方法和tanh-coth方法已用于获得新的孤立波解。其结果是，该可贴合式分数的pGI方程的许多先前已知的结果可通过施加的任意函数和任意常数一些适当的选择来回收。该方程式在光子晶体光纤中有多种应用，并且在非线性光纤中也显示出重要作用。获得的解决方案以3D曲线，等高线图和2D曲线的形式解决了多种类型的光学解决方案，指定了自由参数并附带强制性限制，以确认此类光学孤子解决方案的存在并了解其动态行为。这些解决方案。