Networks with point-like nonlinearities

K. K. Sabirov; J. R. Yusupov; Kh Sh Matyokubov; H. Susanto; D. U. Matrasulov

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

Networks with point-like nonlinearities

K. K. Sabirov
, J. R. Yusupov
, Kh Sh Matyokubov
, H. Susanto
, D. U. Matrasulov

Mathematics

Tashkent University of Information Technologies named after Muhammad al-Khwarizmi
Yeoju Technical Institute in Tashkent
National University of Uzbekistan named after Mirzo Ulugbek
Urgench State University
Turin Polytechnic University in Tashkent

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	British English
Pages (from-to)	30-35
Number of pages	6
Journal	Nanosystems: Physics, Chemistry, Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.17586/2220-8054-2022-13-1-30-35
State	Published - Feb 2022

Keywords

Metric graphs
NLSE
Point-like nonlinearity
Spontaneous symmetry breaking bifurcations

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title = "Networks with point-like nonlinearities",

abstract = "We study static nonlinear waves in networks described by a nonlinear Schr{\"o}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.",

keywords = "Metric graphs, NLSE, Point-like nonlinearity, Spontaneous symmetry breaking bifurcations",

author = "Sabirov, \{K. K.\} and Yusupov, \{J. R.\} and Matyokubov, \{Kh Sh\} and H. Susanto and Matrasulov, \{D. U.\}",

note = "Publisher Copyright: {\textcopyright} Sabirov K.K., Yusupov J.R., Matyokubov Kh.Sh., Susanto H., Matrasulov D.U., 2022.",

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T1 - Networks with point-like nonlinearities

AU - Sabirov, K. K.

AU - Yusupov, J. R.

AU - Matyokubov, Kh Sh

AU - Susanto, H.

AU - Matrasulov, D. U.

N1 - Publisher Copyright: © Sabirov K.K., Yusupov J.R., Matyokubov Kh.Sh., Susanto H., Matrasulov D.U., 2022.

PY - 2022/2

Y1 - 2022/2

N2 - 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.

AB - 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.

KW - Metric graphs

KW - NLSE

KW - Point-like nonlinearity

KW - Spontaneous symmetry breaking bifurcations

UR - https://www.scopus.com/pages/publications/85126475924

U2 - 10.17586/2220-8054-2022-13-1-30-35

DO - 10.17586/2220-8054-2022-13-1-30-35

M3 - Article

AN - SCOPUS:85126475924

SN - 2220-8054

VL - 13

SP - 30

EP - 35

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

IS - 1

ER -

Networks with point-like nonlinearities

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Keywords

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