Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity

Ismail Onder; Aydin Secer; Muslum Ozisik; Mustafa Bayram

doi:10.1016/j.heliyon.2023.e13519

Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity

Heliyon. 2023 Feb 7;9(2):e13519. doi: 10.1016/j.heliyon.2023.e13519. eCollection 2023 Feb.

Authors

Ismail Onder¹, Aydin Secer², Muslum Ozisik¹, Mustafa Bayram²

Affiliations

¹ Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey.
² Department of Computer Engineering, Biruni University, Istanbul, Turkey.

Abstract

We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers. According to our literature review, we have discovered new and original soliton types using the Sardar sub-equation and the modified Kudryashov methods, which have not been applied to this model before. We obtained dark, bright, periodic-singular and periodic-M-shaped soliton solutions, respectively. The analytical forms of the obtained solutions are represented by 3D, 2D and contour graphics. In addition, the physical effects of the solution parameters on the wave envelope have been described and clearly interpreted by presenting their 2D graphics.

Keywords: Modified new Kudryashov method; Optical solitons; Perturbed Gerdjikov-Ivanov equation; Sardar subequation method.