A one-dimensional modified Nogochi nonlinear electric transmission network with dispersive elements that consist of a large number of identical sections is theoretically studied in the present paper. The first-order nonautonomous rogue waves with quintic nonlinearity and nonlinear dispersion effects in this network are predicted and analyzed using the cubic-quintic nonlinear Schrödinger (CQ-NLS) equation with a cubic nonlinear derivative term. The results show that, in the semidiscrete limit, the voltage for the transmission network is described in some cases by the CQ-NLS equation with a derivative term that is derived employing the reductive perturbation technique. A one-parameter first-order rational solution of the derived CQ-NLS equation is presented and used to investigate analytically the dependency of the characteristics of the first-order rouge wave parameters on the electric transmission network under consideration. Our results show that when we change the quintic nonlinear and nonlinear dispersion parameter, the first-order nonautonomous rogue wave transforms into the bright-like soliton. Our results also reveal that the shape of the first-order nonautonomous rogue waves does not change when we tune the quintic nonlinear and nonlinear dispersion parameter, while the quintic nonlinear term and nonlinear dispersion effect affect the velocity of first-rogue waves and the evolution of their phase. We also show that the network parameters as well as the frequency of the carrier voltage signal can be used to manage the motion of the first-order nonautonomous rogue waves in the electrical network under consideration. Our results may help to control and manage rogue waves experimentally in electric networks.

中文翻译：

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在经过修改的Nogochi非线性电传输网络中，工程流浪波具有五次非线性和非线性色散效应。

本文从理论上研究了一种具有分散单元的一维改进型Nogochi非线性电传输网络，该网络具有大量相同的截面。使用具有三次非线性导数项的三次五次非线性Schrödinger（CQ-NLS）方程，对该网络中具有五次非线性和非线性弥散效应的一阶非自治流浪进行了预测和分析。结果表明，在半离散极限中，某些情况下，传输网络的电压由CQ-NLS方程式描述，该方程式具有使用还原摄动技术得出的导数项。给出了导出的CQ-NLS方程的一参数一阶有理解，并用于分析研究一阶胭脂波参数特性对所考虑的输电网络的依赖性。我们的结果表明，当我们更改五次非线性和非线性色散参数时，一阶非自治流氓波将转换为亮孤子。我们的结果还表明，当我们调谐五次非线性和非线性色散参数时，一阶非自治流氓波的形状不会改变，而五次非线性项和非线性色散效应会影响一阶流浪的速度和波的演化。他们的阶段。我们还表明，网络参数以及载波电压信号的频率可用于管理所考虑的电网中一阶非自治流氓波的运动。我们的结果可能有助于实验性地控制和管理电网中的流浪。