Quiescent optical solitons with complex Ginzburg-Landau equation having a dozen forms of self-phase modulation

Ahmed H Arnous; Anjan Biswas; Yakup Yıldırım; Luminita Moraru; Simona Moldovanu; Abdulah A Alghamdi

doi:10.1016/j.heliyon.2023.e15661

Quiescent optical solitons with complex Ginzburg-Landau equation having a dozen forms of self-phase modulation

Heliyon. 2023 Apr 22;9(5):e15661. doi: 10.1016/j.heliyon.2023.e15661. eCollection 2023 May.

Authors

Ahmed H Arnous¹, Anjan Biswas^{2

3

4

5

6}, Yakup Yıldırım⁷, Luminita Moraru⁸, Simona Moldovanu⁹, Abdulah A Alghamdi³

Affiliations

¹ Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt.
² Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245, USA.
³ Mathematical Modeling and Applied Computation (MMAC) Research Group,Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia.
⁴ Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow, 115409, Russian Federation.
⁵ Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering,Dunarea de Jos University of Galati, 111 Domneasca Street, Galati, 800201, Romania.
⁶ Department of Mathematics and Applied Mathematics,Sefako Makgatho Health Sciences University, Medunsa, 0204, South Africa.
⁷ Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey.
⁸ Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania.
⁹ Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania.

Abstract

The current study focuses on the recovery of quiescent optical solitons through the use of the complex Ginzburg-Landau equation when the chromatic dispersion is rendered to be nonlinear. A dozen forms of self-phase modulation structures are taken into consideration. The utilization of the enhanced Kudryashov's scheme has led to the emergence of singular, dark, and bright soliton solutions. The existence of such solitons is subject to certain parametric restrictions, which are also discussed in this paper.

Keywords: Kudryashov; Nonlinear chromatic dispersion; Solitons.