najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-1-24-28najo-722Research ArticleMATHEMATICSМАТЕМАТИКАStationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bondsSabirovK. K.

17 Niyazov Str. 100095 Tashkent

Amir Temur Str. 108, Tashkent

karimjonsabirov80@gmail.comAripovM.

University Str. 1, 100174, Tashkent

SagdullayevD. B.

Uzbekistan Str., 49, 100003, Tashkent

Turin Polytechnic University in Tashkent; Tashkent University of Information TechnologiesUzbekistanDepartment of Mathematics, National University of UzbekistanUzbekistanDepartment of High Matnematics, Tashkent State University of EconomyUzbekistan201713082025812428Copyright © Sabirov K.K., Aripov M., Sagdullayev D.B., 20252025Sabirov K.K., Aripov M., Sagdullayev D.B.Sabirov K.K., Aripov M., Sagdullayev D.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/722

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.

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The authors declare that there are no conflicts of interest present.