najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-1-30-35najo-212Research ArticleСтатьиNetworks with point-like nonlinearitiesSabirovK. K.noemail@neicon.ruYusupovJ. R.j.yusupov@ytit.uzMatyokubovKh. Sh.noemail@neicon.ruSusantoH.noemail@neicon.ruMatrasulovD. U.noemail@neicon.ruTashkent University of Information TechnologiesRussian FederationYeoju Technical Institute in Tashkent; National University of UzbekistanRussian FederationUrgench State UniversityRussian FederationKhalifa UniversityRussian FederationTurin Polytechnic University in TashkentRussian Federation2022060620251313035Copyright © Sabirov K.K., Yusupov J.R., Matyokubov K.S., Susanto H., Matrasulov D.U., 20252025Sabirov K.K., Yusupov J.R., Matyokubov K.S., Susanto H., Matrasulov D.U.Sabirov K.K., Yusupov J.R., Matyokubov K.S., Susanto H., Matrasulov D.U.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/212

We study static nonlinear waves in networks described by a nonlinear Schro¨ dinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.

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