In this paper, we discuss the propagation of optical pulses in the nonlinear optical fibers. The generalized higher-order nonlinear Schrödinger equation (NLSE) is under consideration as a governing model. The studied model is composed of group-velocity dispersion, self-phase modulation, third-order dispersion, self-steepening and stimulated Raman scattering. Researchers have been studying a wide range of natural phenomena in depth, and nonlinear science has gradually become a part of people’s consciousness. We have extracted the optical pulses in different forms like bright, dark, singular and combined solitons by assistance of recently developed integration tool, namely the new extended direct algebraic method (NEDAM). Moreover, the solutions for the hyperbolic, periodic and trigonometric functions are retrieved. Using proper parameters in numerical simulations and physical explanations, it is possible to demonstrate the importance of the findings. It is proposed that the offered method can be utilized to support nonlinear dynamical models applicable to a wide variety of physical situations. We hope that a wide spectrum of engineering model professionals will find this study to be beneficial.

在本文中，我们讨论了光脉冲在非线性光纤中的传播。广义高阶非线性薛定谔方程 (NLSE) 正在考虑作为控制模型。所研究的模型由群速度色散、自相位调制、三阶色散、自陡峭和受激拉曼散射组成。研究人员一直在深入研究广泛的自然现象，非线性科学逐渐成为人们意识的一部分。借助最近开发的集成工具，即新的扩展直接代数法（NEDAM），我们提取了不同形式的光脉冲，如亮、暗、奇异和组合孤子。此外，还检索了双曲、周期和三角函数的解。在数值模拟和物理解释中使用适当的参数，可以证明这些发现的重要性。建议所提供的方法可用于支持适用于各种物理情况的非线性动力学模型。我们希望广泛的工程模型专业人士会发现这项研究是有益的。