Article

Networks with point-like nonlinearities

K.K. SabirovTashkent University of Information Technologies, 100200, Tashkent, UzbekistanJ.R. YusupovNational University of Uzbekistan, 100174, Tashkent, UzbekistanKh. Sh. MatyokubovUrgench State University, 220100, Urgench, Uzbekistan,H. SusantoKhalifa University, 127788, Abu Dhabi, UAE,D.U. MatrasulovTurin Polytechnic University in Tashkent, 100095, Tashkent, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2022en

ABI

Abstract

We study static nonlinear waves in networks described by a nonlinear Schr 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.

Topics

Advanced Optical Network Technologies

Identifiers

DOI: 10.17586/2220-8054-2022-13-1-30-35

Citations and references

Cited by 2 26 references

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