The nonlinear transmission line and the low-pass electrical transmission line equations are very important nonlinear evolution equations in electrical transmission line management. The modified simple equation (MSE) technique is a compatible and effective mathematical tool to extract soliton solutions of science and engineering problems. In this article, the MSE technique is introduced and implemented to extract broad-ranging exact wave solutions to the formerly stated equations and accomplish analytic soliton solutions including trigonometric and hyperbolic functions with parameters. Whenever the parameters accept appropriate values, soliton solutions are formulated from the wave solutions. We describe the solutions through 3D and 2D graphs. The shapes of the obtained solutions include kink soliton, peakon, periodic soliton, singular periodic soliton, bell shape soliton, compacton and singular kink type soliton. The results show that the MSE technique is a further operative and powerful mathematical tool for extracting the soliton solutions.

中文翻译：

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非线性传输和低通输电线路的封闭式孤子解

非线性传输线和低通电力传输线方程是电力传输线管理中非常重要的非线性演化方程。修改后的简单方程（MSE）技术是一种兼容且有效的数学工具，可以提取科学和工程问题的孤子解。在本文中，介绍并实现了MSE技术，以提取先前描述的方程式的广泛精确波解，并完成包括参数的三角函数和双曲线函数的解析孤子解。只要参数接受适当的值，就从波动解中制定孤子解。我们通过3D和2D图形描述解决方案。所得解决方案的形状包括扭结孤子，peakon，周期孤子，奇异周期孤子，钟形孤子，compacton和奇异扭结型孤子。结果表明，MSE技术是提取孤子解的另一种有效且强大的数学工具。