najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-2-162-172najo-904Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEA solution of nonlinear Schrödinger equation on metric graphsSabirovK. K.

4 University St., 100074, Tashkent

karimjonsabirov@yahoo.comKhalmukhamedovA. R.

22 Amir Temur St., 100060, Tashkent

National University of UzbekistanUzbekistanTashkent branch of Moscow State University named after L. V. LomonosovUzbekistan20151408202562162172Copyright © Sabirov K.K., Khalmukhamedov A.R., 20252025Sabirov K.K., Khalmukhamedov A.R.Sabirov K.K., Khalmukhamedov A.R.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/904

We treat the Nonlinear Schr¨odinger 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.

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