Preprint

Networks with point like nonlinearities

K.K. SabirovTashkent University of Information Technologies , 108 Amir Temur Str. , 100200 , Tashkent UzbekistanJambul YusupovTurin Polytechnic University in Tashkent , 17 Niyazov Str. , 100095 , Tashkent , UzbekistanH. SusantoDepartment of Mathematical Sciences , University of Essex , Colchester , CO4 3SQ , United KingdomD. U. MatrasulovTurin Polytechnic University in Tashkent , 17 Niyazov Str. , 100095 , Tashkent , Uzbekistan

2019en

ABI

Annotatsiya

We study static nonlinear waves in networks described by a nonlinear Schrodinger 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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Identifikatorlar

DOI: 10.48550/arxiv.1901.10474

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