Evolution of periodic wave and dromion-like structure solutions in the variable coefficients coupled high-order complex Ginzburg–Landau system

In this paper, the propagation characteristics of ultrashort pulses in the birefringent fiber expressed by the variable coefficients coupled high-order complex Ginzburg–Landau equations (HCGLEs) are analyzed. Firstly, the one-soliton solution of the coupled HCGLEs is obtained by the asymmetric metho...

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Bibliographic Details
Published in:Nonlinear dynamics 2023-09, Vol.111 (18), p.17463-17471
Main Authors: Yan, Yuanyuan, Liu, Wenjun, Wang, Haotian, Liu, Xiaoyan, Meng, Xiankui, Yang, Hujiang, Tian, Ye
Format: Article
Language:English
Subjects:
Asymmetry
Automotive Engineering
Classical Mechanics
Coefficients
Communications systems
Control
Dynamic characteristics
Dynamical Systems
Engineering
Evolution
Fiber lasers
Landau-Ginzburg equations
Mathematical analysis
Mechanical Engineering
Optical communication
Optimization
Original Paper
Solitary waves
Vibration
Wave division multiplexing
Wavelength division multiplexing
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Summary:In this paper, the propagation characteristics of ultrashort pulses in the birefringent fiber expressed by the variable coefficients coupled high-order complex Ginzburg–Landau equations (HCGLEs) are analyzed. Firstly, the one-soliton solution of the coupled HCGLEs is obtained by the asymmetric method. And this is an innovative breakthrough in applying the asymmetric method to solve the coupled Ginzburg–Landau (GL) equations for the first time. Then, the evolution process and dynamic characteristics of special types of solitons such as the periodic wave and dromion-like structure in the variable coefficients coupled high-order complex Ginzburg–Landau (HCGL) system are discussed by examples. Furthermore, the combination of traditional bright soliton and dromion-like structure is constructed for the first time. These works are expected to promote the research on multi-soliton solutions in HCGL systems, which is still an unsolved problem, and are likely to contribute some theoretical guidance to the optimization of wavelength division multiplexing (WDM) systems and the preparation of special types of soliton pairs in fiber lasers, so as to promote the development of optical soliton research and elevate information transmission rate in optical communication systems.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-08742-x