Geodesic
A solution of nonlinear Schr\"odinger equation on metric graphs
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 162-172.

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We treat the Nonlinear Schrödinger 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.
Keywords: metric graphs, nonlinear Schrödinger equation
Mots-clés : solitons. 
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     title = {A solution of nonlinear {Schr\"odinger} equation on metric graphs},
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K. K. Sabirov; A. R. Khalmukhamedov. A solution of nonlinear Schr\"odinger equation on metric graphs. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 162-172. http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a0/