Article

Standing Manakov solitons in networks: Exact solutions and stability analysis in metric-graphs–based approach

M. AkramovNational University of Uzbekistan - 4 Universitet Str., 100174, Tashkent, UzbekistanK. K. SabirovTashkent State University of Economics - 49 Islam Karimov Str., 100066, Tashkent, UzbekistanKh. Sh. MatyokubovUrgench State Pedagogical Institute - 1 Gurlan Str., 220100, Urgench, UzbekistanD. U. MatrasulovTurin Polytechnic University in Tashkent - 17 Niyazov Str., 100095, Tashkent, Uzbekistan

Europhysics Letters (EPL)journal2025en

ABI

Abstract

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.

Topics

Advanced Fiber Optic Sensors Nonlinear Photonic Systems Traffic control and management

Identifiers

DOI: 10.1209/0295-5075/ae1056

Citations and references

Cited by 1 39 references

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