New optical solutions of conformable fractional perturbed Gerdjikov-Ivanov equation in mathematical nonlinear optics

• Main Authors: Aniqa Zulfiqar, Jamshad Ahmad
• Format: Article
• Language: English
• Published: Elsevier 2021-02-01
• Series: Results in Physics
• Subjects: Fractional perturbed Gerdjikov-Ivanov equation; Conformable derivative; Tanh method; Tanh-coth method; Optical solutions
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379721000127

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.