<p>The objective of this research is to examine the complex dynamics of electrical soliton-like pulses in the context of a nonlinear low-pass electrical transmission line model (NLPETLM). The design of transmission line is purposefully constructed to investigate the propagation of electrical soliton in materials that possess both dispersive and nonlinearity characteristics. In order to accomplish this objective, a novel multivariate generalized exponential differential function approach (MGEDFA) and generalized logistic equation method (GLEM) are utilized for NLPETLM. By utilizing the proposed methods in conjunction with the suggested model facilitates the generation of electrical soliton-like pulses, which consist of bright soliton, and kink soliton. The characteristic of electrical soliton pulses to propagate with minimal dispersion makes them a highly effective solution for transmitting data modulated as short pulses over considerable distances. To understand the mechanisms of the soliton family, we construct 3<i>D</i> contour surface plots, density graphs and line plots representing various novel solutions that confirm to the considered equations. The results of this study can be harnessed to drive progress in telecommunication technology, thereby facilitating increased efficiency and superior performance.</p>

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Electrical soliton dynamics in nonlinear low pass transmission lines: Exact solutions and stability analysis

  • Muhammad Abdaal Bin Iqbal,
  • Muhammad Zubair Raza,
  • Maasoomaah Sadaf,
  • Ghazala Akram,
  • Muhammad Yousuf

摘要

The objective of this research is to examine the complex dynamics of electrical soliton-like pulses in the context of a nonlinear low-pass electrical transmission line model (NLPETLM). The design of transmission line is purposefully constructed to investigate the propagation of electrical soliton in materials that possess both dispersive and nonlinearity characteristics. In order to accomplish this objective, a novel multivariate generalized exponential differential function approach (MGEDFA) and generalized logistic equation method (GLEM) are utilized for NLPETLM. By utilizing the proposed methods in conjunction with the suggested model facilitates the generation of electrical soliton-like pulses, which consist of bright soliton, and kink soliton. The characteristic of electrical soliton pulses to propagate with minimal dispersion makes them a highly effective solution for transmitting data modulated as short pulses over considerable distances. To understand the mechanisms of the soliton family, we construct 3D contour surface plots, density graphs and line plots representing various novel solutions that confirm to the considered equations. The results of this study can be harnessed to drive progress in telecommunication technology, thereby facilitating increased efficiency and superior performance.