Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion

Kaltham K. Al-Kalbani, K.S. Al-Ghafri, E.V. Krishnan and Anjan Biswas

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: This paper is exploring the optical solitons to perturbed Gerdjikov–Ivanov (GI) equation in optical fibers. Using traveling wave transformation, the complex form of perturbed GI equation is reduced to a nonlinear ordinary differential equation (ODE). Then, the improved projective Riccati equations method has been implemented to solve the ODE analytically. Different types of solutions such as bright, kink and singular optical soliton structures are obtained. In addition, W-shaped, kink-dark and singular-kink waves are obtained under specific values for the physical parameters in the model. The existence conditions of all optical solitons are given. Also, the behaviors of some optical solitons are illustrated graphically in this paper by selecting appropriate values for the physical parameters. Besides, the modulation instability of the perturbed GI equation is reported.

Keywords: Perturbed Gerdjikov–Ivanov equation; optical solitons; W-shaped soliton; improved projective Riccati equations method (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008778

DOI: 10.1016/j.chaos.2021.111523

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