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Networks with point-like nonlinearities

K.K. SabirovTashkent University of Information Technologies, 100200, Tashkent, UzbekistanJ.R. YusupovYeoju Technical Institute in Tashkent, 100121, Tashkent, Uzbekistan,Kh. Sh. MatyokubovUrgench State University, 220100, Urgench, Uzbekistan,H. SusantoKhalifa University, 127788, Abu Dhabi, UAE,D.U. MatrasulovTurin Polytechnic University in Tashkent, 100095, Tashkent, Uzbekistan
ABI

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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.

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