On the kinks in discrete systems

Abstract

We use perturbation theory to study kinks in nonlinear Klein--Gordon ($\ddot{I}{•}^4$ 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.

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