Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks
Exactly Solvable and Integrable Systems
2023-01-16 v1 Superconductivity
Abstract
We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Exact analytical solutions of the problem are obtained for special case of the constraints given by in terms of simple sum rule. Numerical solution is obtained when the constraint is not fulfilled.
Keywords
Cite
@article{arxiv.2301.05446,
title = {Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks},
author = {M. E. Akramov and J. R. Yusupov and I. N. Askerzade and D. U. Matrasulov},
journal= {arXiv preprint arXiv:2301.05446},
year = {2023}
}