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

Abstract

In this paper, the propagation characteristics of an ultrashort pulse in the birefringent fiber expressed by the variable-coefficients coupled high-order complex Ginzburg-Landau (HCGL) equations are analyzed. Firstly, the one-soliton solution of the coupled HCGL equations is obtained by the asymmetric method. And this is the first time that the coupled Ginzburg-Landau (GL) equations are successfully solved by the asymmetric method, which further expands the scope of application of the asymmetric method. 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 HCGL system are discussed by examples. Furthermore, the combination of traditional bright soliton and dromon-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.