Preprint

Nonlocal Nonlinear Schrodinger Equation on Metric Graphs

K.K. SabirovTashkent University of Information Technology , Amir Temur Avenue 108 , Tashkent 100200 , UzbekistanD. U. MatrasulovYeoju Technical Institute in Tashkent , 156 Usman Nasyr Str. , 100121 , Tashkent , UzbekistanM. AkramovYeoju Technical Institute in Tashkent , 156 Usman Nasyr Str. , 100121 , Tashkent , UzbekistanH. SusantoDepartment of Mathematics , Khalifa University , Abu Dhabi Campus , PO Box 127788 , United Arab Emirates

2021en

ABI

Annotatsiya

We consider PT-symmetric, nonlocal nonlinear Schrodinger equation on metric graphs. Vertex boundary conditions are derived from the conservation laws. Soliton solutions are obtained for simplest graph topologies, such as star and tree graphs. Integrability of the problem is shown by proving existence of infinite number of conservation laws.

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Identifikatorlar

DOI: 10.48550/arxiv.2111.03271

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