PT-symmetric solitons in networks: a metric graph based approach
M. AkramovNational University of Uzbekistan, 4 Universitet Str., 100174, Tashkent, UzbekistanB. EshchanovChirchik State Pedagogical University, 104 Amir Temur Str., 111700, Tashkent region, UzbekistanFeruza KhashimovaNavoi State Mining Institute, 27 Janubiy Str., 210100 Navoi, UzbekistanD. U. MatrasulovTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
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ABI
Annotatsiya
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.
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