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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 1, Pages 30–35
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-30-35 (Mi nano1082) 		 
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
Full-text PDF (272 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-30-35
Abstract: 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.
Keywords: metric graphs, point-like nonlinearity, NLSE, spontaneous symmetry breaking bifurcations.
Received: 24.06.2021
Revised: 30.12.2021
Accepted: 01.02.2022
Bibliographic databases:
Document Type: Article
PACS: 03.75.Lm, 05.45.Yv, 05.45.-a
Language: English
Citation: K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov, H. Susanto, D. U. Matrasulov, “Networks with point-like nonlinearities”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022), 30–35
Citation in format AMSBIB
\Bibitem{SabYusMat22}
\by K.~K.~Sabirov, J.~R.~Yusupov, Kh.~Sh.~Matyokubov, H.~Susanto, D.~U.~Matrasulov
\paper Networks with point-like nonlinearities
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 1
\pages 30--35
\mathnet{http://mi.mathnet.ru/nano1082}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-1-30-35}
\elib{https://elibrary.ru/item.asp?id=48016822}
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