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A solution of nonlinear Schrödinger equation on metric graphs

K.K. SabirovNational University of Uzbekistan, 4 University St., 100074, Tashkent, UzbekistanA. R. Khalmukhamedov
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Аннотация

We treat the Nonlinear Schrdinger equation (NLSE) on Metric graph. An approach developed earlier for NLSE on interval [14], is extended for star graph. Dirichlet boundary conditions are imposed at the ends of bonds are imposed, while continuity conditions are chosen at the vertex of graph.

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