Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks

Akramov M. E., Yusupov J. R., Askerbeyli İ., Matrasulov D. U.

PHYSICA SCRIPTA, vol.230105446, no.2301.05446, pp.1-7, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 230105446 Issue: 2301.05446
  • Publication Date: 2023
  • Doi Number: 10.1088/1402-4896/acff4e
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Page Numbers: pp.1-7
  • Ankara University Affiliated: Yes

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.