PT-symmetric solitons in networks: a metric graph based approach
Abstract We propose a model for networks approving PT-symmetric standing solitons. The model is described in terms of the nonlinear Schrödinger equation on metric graphs, with complex PT-symmetric potential given on each bond. Exact soliton solutions of the problem are obtained. The stability analysis of the PT-symmetric standing solitons on the star graph is studied. Extension for other graph topologies is demonstrated by considering a metric tree graph.
Authors
- B. Eshchanov (ORCID: https://orcid.org/0000-0002-1869-4974)
- Feruza Khashimova
- M. Akramov (ORCID: https://orcid.org/0000-0003-1819-3704)
- D. U. Matrasulov (ORCID: https://orcid.org/0000-0001-8957-0058)
Institutions
- Khazar University (AZ)
- Turin Polytechnic University (UZ)
- Navoi State University of Mining and Technologies (UZ)
- National Pedagogical University of Uzbekistan named after Nizami (UZ)
- National University of Uzbekistan (UZ)
Publication Details
- Journal
- Physica Scripta
- Published
- 2024-10-16
- DOI
- https://doi.org/10.1088/1402-4896/ad87bb
- Citations
- 2
- Primary Topic
- Nonlinear Photonic Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.56