Modulated harmonic wave in series connected discrete Josephson transmission line: the discrete calculus approach
Pattern Formation and Solitons
2024-07-01 v3 Superconductivity
Systems and Control
Systems and Control
Abstract
We consider the modulated harmonic wave in the discrete series connected Josephson transmission line (JTL). We formulate the approach to the modulation problems for discrete wave equations based on discrete calculus. We check up the approach by applying it to the Fermi-Pasta-Ulam-Tsingou type problem. Applying the approach to the discrete JTL, we obtain the equation describing the modulation amplitude, which turns out to be the defocusing nonlinear Schr\"odinger (NLS) equation. We compare the profile of the single soliton solution of the NLS with that of the soliton obtained in our previous publication.
Keywords
Cite
@article{arxiv.2209.07990,
title = {Modulated harmonic wave in series connected discrete Josephson transmission line: the discrete calculus approach},
author = {Eugene Kogan},
journal= {arXiv preprint arXiv:2209.07990},
year = {2024}
}
Comments
pdfLatex, 6+epsilon pages, 3 Figures. As accepted for publication in Physica Status Solidi b