On the kinks in discrete systems

Eugene Kogan

doi:10.3390/math14142640

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arXiv · 2607.16340

On the kinks in discrete systems

Eugene Kogan

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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.

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Eugene Kogan. 2026-07-16. On the kinks in discrete systems. https://doi.org/10.3390/math14142640

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