Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds
K.K. SabirovTashkent University of Information Technologies, Amir Temur Str. 108, Tashkent, UzbekistanМерсаид АриповDepartment of Mathematics, National University of Uzbekistan, University Str. 1, 100174, Tashkent, UzbekistanD.B. SagdullayevDepartment of High Matnematics, Tashkent State University of Economy, Uzbekistan Str., 49, 100003, Tashkent, Uzbekistan
ABI
Abstract
We consider the stationary (cubic) nonlinear Schrdinger 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.