Exact analytical solutions for the kinks, the solitons and the shocks in discrete nonlinear transmission line with nonlinear capacitance
Pattern Formation and Solitons
2024-07-01 v7 Systems and Control
Systems and Control
Applied Physics
Abstract
We studied discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors). The localised travelling waves in the lossless transmission lines are the kinks and the solitons, which speeds and profiles were calculated. The localised travelling waves in the lossy transmission lines are the dissipative kinks and the shocks, which speeds and profiles were also calculated.
Keywords
Cite
@article{arxiv.2401.05261,
title = {Exact analytical solutions for the kinks, the solitons and the shocks in discrete nonlinear transmission line with nonlinear capacitance},
author = {Eugene Kogan},
journal= {arXiv preprint arXiv:2401.05261},
year = {2024}
}
Comments
pdfLaTeX, 6 pages, 2 figures. As accepted for publication in Physica Status Solidi (b)