On the kinks in discrete systems

Eugene Kogan

On the kinks in discrete systems

Pattern Formation and Solitons 2026-07-16 v1

Authors: Eugene Kogan

Abstract

We use perturbation theory to study kinks in nonlinear Klein--Gordon ( $\phi^4$ and sine-Gordon) chains and in a discrete series-connected Josephson transmission line. The expansion parameter is the ratio of the lattice period to the kink width. The next-to-leading-order approximation modifies the kink profiles obtained previously in the leading-order approximation.

Cite

@article{arxiv.2607.16340,
  title  = {On the kinks in discrete systems},
  author = {Eugene Kogan},
  journal= {arXiv preprint arXiv:2607.16340},
  year   = {2026}
}

Comments

pdfLaTeX, 8 pages, 3 Figures. Accepted for publication in Mathematics