Stationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bonds

Аннотация

We consider the stationary (cubic) nonlinear Schrӧdinger 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.