Geodesic
Stationary nonlinear Schr\"odinger equation on the graph for the triangle with outgoing bonds
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 24-28

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We consider the stationary (cubic) nonlinear Schrödinger equation (NLSE) on a simple metric graph in the form of a triangle with three infinite outgoing bonds. Exact solutions are obtained for primary star graph with the boundary vertex conditions providing the wave function weights continuity and flux conservation for the case of repulsive nonlinearity.
Keywords: Nonlinear Schrödinger equation, a metric graph, repulsive nonlinearity. 
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     author = {K. K. Sabirov and M. Aripov and D. B. Sagdullayev},
     title = {Stationary nonlinear {Schr\"odinger} equation on the graph for the triangle with outgoing bonds},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a3/}
}
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K. K. Sabirov; M. Aripov; D. B. Sagdullayev. Stationary nonlinear Schr\"odinger equation on the graph for the triangle with outgoing bonds. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 24-28. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a3/