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Kinks in the Discrete Systems in the Next to Leading Order Approximation: Josephson Transmission Line and Non-Linear Klein-Gordon Chains

Submitted:

26 June 2026

Posted:

30 June 2026

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Abstract
We perturbatively study kinks in the discrete Josephson transmission line and non-linear Klein-Gordon $(\phi^4$ and sine-Gordon) chains. The expansion parameter of the perturbation theory is the ratio of the system period to the kink width. The next to leading order approximation changes the shape of the kinks calculated previously in the leading order approximation.
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