Resumen de Qualitative Analysis, Chaotic Behavior and Optical Solitons Perturbation for the Coupled Fokas-Lenells System in Birefringent Fibers

Lu Tang

• The main purpose of this paper is to study the bifurcations, optical solitons perturbation and chaotic behavior for the coupled Fokas-Lenells system in birefringent fibers. Firstly, by means of the homogeneous balance principle, the Gallian transformation and traveling wave transformations, the coupled Fokas-Lenells system in birefringent fibers is transformed into ordinary differential equation. Secondly, the dynamical properties of the two-dimensional system and their chaotic behavior with perturbed systems are analyzed in detail. The obtained results substantially improve or complement the corresponding conditions in the literature. Finally, in order to further understand the propagation of the coupled Fokas-Lenells system in birefringent fibers, two-dimensional portraits, three-dimensional portraits, density plots and contour plots of the obtained optical soliton solutions are drawn.