| Issue |
EPL
Volume 152, Number 2, October 2025
|
|
|---|---|---|
| Article Number | 22001 | |
| Number of page(s) | 7 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/ae1056 | |
| Published online | 03 November 2025 | |
Standing Manakov solitons in networks: Exact solutions and stability analysis in metric-graphs–based approach
1 National University of Uzbekistan - 4 Universitet Str., 100174, Tashkent, Uzbekistan
2 Tashkent State University of Economics - 49 Islam Karimov Str., 100066, Tashkent, Uzbekistan
3 Urgench State Pedagogical Institute - 1 Gurlan Str., 220100, Urgench, Uzbekistan
4 Urgench State University - 14 H.Olimjon Str., 220100 Urgench, Uzbekistan
5 Turin Polytechnic University in Tashkent - 17 Niyazov Str., 100095, Tashkent, Uzbekistan
Received: 4 August 2025
Accepted: 7 October 2025
Abstract
We consider the (stationary) time-independent Manakov system on metric graphs. In particular, for the vertex boundary conditions following the conservation laws, we obtain exact soliton solutions of the problem. The ground-state solution, i.e., the solution corresponding to a minimum of energy, is studied. The stability of the ground-state solution is analyzed using variational approaches.
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