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MATHEMATICS
Networks with point-like nonlinearities
K. K. Sabirova, J. R. Yusupovbc, Kh. Sh. Matyokubovd, H. Susantoe, D. U. Matrasulovf a Tashkent University of Information Technologies, 100200, Tashkent, Uzbekistan
b Yeoju Technical Institute in Tashkent, 100121, Tashkent, Uzbekistan
c National University of Uzbekistan, 100174, Tashkent, Uzbekistan
d Urgench State University, 220100, Urgench, Uzbekistan
e Khalifa University, 127788, Abu Dhabi, UAE
f Turin Polytechnic University in Tashkent, 100095, Tashkent, Uzbekistan
Аннотация:
We study static nonlinear waves in networks described by a nonlinear Schrödinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.
Ключевые слова:
metric graphs, point-like nonlinearity, NLSE, spontaneous symmetry breaking bifurcations.
Поступила в редакцию: 24.06.2021 Исправленный вариант: 30.12.2021 Принята в печать: 01.02.2022
Образец цитирования:
K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov, H. Susanto, D. U. Matrasulov, “Networks with point-like nonlinearities”, Наносистемы: физика, химия, математика, 13:1 (2022), 30–35
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano1082 https://www.mathnet.ru/rus/nano/v13/i1/p30
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