TY - JOUR
T1 - Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion
AU - Al-Kalbani, Kaltham K.
AU - Al-Ghafri, K. S.
AU - Krishnan, E. V.
AU - Biswas, Anjan
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/12
Y1 - 2021/12
N2 - 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.
AB - 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.
KW - Perturbed Gerdjikov–Ivanov equation
KW - W-shaped soliton
KW - improved projective Riccati equations method
KW - optical solitons
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U2 - 10.1016/j.chaos.2021.111523
DO - 10.1016/j.chaos.2021.111523
M3 - Article
AN - SCOPUS:85119043019
SN - 0960-0779
VL - 153
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 111523
ER -