On the Kinks in Discrete Systems

2026/07/16 by Eugene Kogan, E. Kogan · 1 voice
Physics and Astronomy · #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons

paper · pdf · doi:10.3390/math14142640

Abstract

We use perturbation theory to study kinks in nonlinear Klein–Gordon (ϕ4 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.

Discussions

• Eugene Kogan: On the kinks in discrete systems https://arxiv.org/abs/2607.16340 https://arxiv.org/pdf/2607.16340 https://arxiv.org/html/2607.16340 [bsky, 1 points, 0 comments]

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