Passively mode-locked fiber laser has advantages of compactness, simplicity, flexibility and high quality of the output pulse, which provides an excellent research platform for the analysis of optical soliton characteristics. In this paper, the complex cubic Ginzburg–Landau equation (CGLE) is employed to simulate pulse propagation in passively mode-locked Er-doped fiber laser. We use barycentric interpolation collocation method to numerically solve the dark single soliton, dark two-soliton and bright two-soliton solutions, and study the effects of dispersion, nonlinear effects, gain and loss on optical pulse transmission. We discuss the dynamic characteristics of the bright two-solitons and dark two-solitons for the complex CGLE, respectively. The results is of great significance for the study of optical pulse transmission in fiber laser.

被动锁模光纤激光器具有紧凑、简单、灵活、输出脉冲质量高等优点，为光孤子特性分析提供了良好的研究平台。在本文中，采用复三次 Ginzburg-Landau 方程 (CGLE) 来模拟被动锁模掺铒光纤激光器中的脉冲传播。我们采用重心插值搭配法对暗单孤子、暗双孤子和亮双孤子解进行数值求解，研究色散、非线性效应、增益和损耗对光脉冲传输的影响。我们分别讨论了复 CGLE 的亮双孤子和暗双孤子的动态特性。该结果对光纤激光器中光脉冲传输的研究具有重要意义。