The Sasa-Satsuma equation on a continuous background describes a nonlinear fiber system with higher-order effects including the third-order dispersion and Kerr dispersion. The Sasa-Satsuma equations describe the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber with the third-order dispersion, self-steepening, and stimulated Raman in scattering effects, and govern the propagation of ultra-fast pulses in optical fiber transmission systems. We consider the Sasa-Satsuma equation, which is one of the integrable extensions of the nonlinear Schrödinger equations. We find the functional integral and the Lagrangian of this model. We derived the computational and analytical soliton solutions of the nonlinear Sasa-Satsuma dynamical system. We discuss the stability analysis for our solutions.

连续背景上的 Sasa-Satsuma 方程描述了具有高阶效应的非线性光纤系统，包括三阶色散和克尔色散。Sasa-Satsuma 方程描述了两个超短脉冲在双折射或双模光纤中的同时传播，在散射效应中具有三阶色散、自陡峭和受激拉曼，并控制超快脉冲在光学中的传播光纤传输系统。我们考虑 Sasa-Satsuma 方程，它是非线性薛定谔方程的可积扩展之一。我们找到了这个模型的泛函积分和拉格朗日函数。我们推导出非线性 Sasa-Satsuma 动力系统的计算和解析孤子解。我们讨论了我们解决方案的稳定性分析。