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

被引：23
作者：
Al-Kalbani, Kaltham K. [1 ]
Al-Ghafri, K. S. [2 ]
Krishnan, E. V. [1 ]
Biswas, Anjan [3 ,4 ,5 ,6 ]
机构：
[1] Sultan Qaboos Univ, Dept Math, POB 36, Muscat 123, Oman
[2] Univ Technol & Appl Sci, POB 14, Ibri 516, Oman
[3] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA
[4] King Abdulaziz Univ, Dept Math, Math Modeling & Appl Computat MMAC Res Grp, Jeddah 21589, Saudi Arabia
[5] Natl Res Nucl Univ, Dept Appl Math, 31 Kashirskoe Hwy, Moscow 115409, Russia
[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Pretoria, South Africa
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 153卷
关键词：
Perturbed Gerdjikov-Ivanov equation; optical solitons; W-shaped soliton; improved projective Riccati equations; method; OPTICAL SOLITONS; MODEL;
D O I：
10.1016/j.chaos.2021.111523
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 non-linear 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. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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