Phase portraits and optical soliton solutions of coupled Sasa–Satsuma model in birefringent fibers

• Published in: Results in physics 2022-12, Vol.43, p.106021, Article 106021
• Main Authors: Li, Zhao, Fan, Wenjie, Miao, Fang, Jin, Changjiang
• Format: Article
• Language: English
• Subjects: Coupled Sasa–Satsuma equation; Optical soliton solution; Phase portrait; Planar dynamic system method
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.106021

The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics. This model is usually used to describe the propagation of femtosecond pulses in optical fibers. By using traveling wave transformation, the coupled Sasa–Satsuma model is simplified into the coupled nonlinear ordinary differential equations. After that, the coupled nonlinear ordinary differential equations are transformed into two-dimensional planar dynamic system with the Hamiltonian system. According to the bifurcation theory of planar dynamical system, the phase portrait of two-dimensional dynamical system is drawn. What is more, some very important optical soliton solutions are also constructed. In order to explain the propagation of optical solitons, three-dimensional diagrams, two-dimensional diagrams and the contour plots of the obtained solutions are drawn by using Maple software. •The main purpose of this paper is to discuss the optical soliton solutions and phase portraits of the coupled Sasa–Satsuma model in nonlinear optics.•Phase portraits, three-dimensional diagrams, two-dimensional diagrams and contour diagrams can be drawn by using Maple software.