In this study, we intend to analyze the traveling and several other solitary wave solutions in the nonlinear low-pass electrical transmission line model using the new mapping method, the new extended auxiliary equation method, and the extended Kudryashov method. A type of traveling and solitary wave solutions emerge, consisting of hyperbolic function, trigonometric, rational, periodic, and doubly periodic solutions that reflect kink, anti-kink wave solitons, bright-dark optical solitons, singular solitons, and other traveling waves. The three integration techniques applied are efficient, effective, and versatile for the creation of new bright, dark, singular, and non-singular periodic and solitary wave propagation solutions in nonlinear low-pass electrical transmission lines. To see the extant physical significance of the considered equation, we present some 2D and 3D figures for some solutions. We compare the obtained results with those obtained in the literature. We investigate and demonstrate the stability of the soliton solutions.

在这项研究中，我们打算使用新的映射方法、新的扩展辅助方程方法和扩展的 Kudryashov 方法分析非线性低通电力传输线模型中的行波解和其他几个孤立波解。出现了一种行波解和孤波解，由双曲函数、三角函数、有理、周期和双周期解组成，它们反射扭结、反扭结波孤子、亮暗光学孤子、奇异孤子和其他行波。所应用的三种集成技术高效、有效且用途广泛，可用于在非线性低通输电线路中创建新的亮、暗、奇异和非奇异周期性和孤立波传播解决方案。要查看所考虑方程的现存物理意义，一些解决方案的D和3D图形。我们将获得的结果与文献中获得的结果进行比较。我们研究并证明了孤子解的稳定性。