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Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 1, Pages 24–28
DOI: https://doi.org/10.17586/2220-8054-2017-8-1-24-28 (Mi nano4) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds

K. K. Sabirovab, M. Aripovc, D. B. Sagdullayevd

a Turin Polytechnic University in Tashkent
b Tashkent University of Information Technology, Amir Temur Str. 108, Tashkent, Uzbekistan
c Department of Mathematics, National University of Uzbekistan, University Str. 1, 100174, Tashkent, Uzbekistan
d Department of High Matnematics, Tashkent State University of Economy, Uzbekistan Str., 49, 100003, Tashkent, Uzbekistan
Full-text PDF (205 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2017-8-1-24-28
Abstract: We consider the stationary (cubic) nonlinear Schrödinger equation (NLSE) on a simple metric graph in the form of a triangle with three infinite outgoing bonds. Exact solutions are obtained for primary star graph with the boundary vertex conditions providing the wave function weights continuity and flux conservation for the case of repulsive nonlinearity.
Keywords: Nonlinear Schrödinger equation, a metric graph, repulsive nonlinearity.
Funding agency Grant number
Committee for coordination science and technology development under the Cabinet of Ministers of Uzbekistan
This work is partially supported by the grant of the Committee for the Coordination Science and Technology Development.
Received: 10.07.2016
Revised: 25.08.2016
Bibliographic databases:
Document Type: Article
PACS: 05.45.Yv
Language: English
Citation: K. K. Sabirov, M. Aripov, D. B. Sagdullayev, “Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds”, Nanosystems: Physics, Chemistry, Mathematics, 8:1 (2017), 24–28
Citation in format AMSBIB
\Bibitem{SabAriSag17}
\by K.~K.~Sabirov, M.~Aripov, D.~B.~Sagdullayev
\paper Stationary nonlinear Schr\"odinger equation on the graph for the triangle with outgoing bonds
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2017
\vol 8
\issue 1
\pages 24--28
\mathnet{http://mi.mathnet.ru/nano4}
\crossref{https://doi.org/10.17586/2220-8054-2017-8-1-24-28}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000397241100004}
Linking options:
  • https://www.mathnet.ru/eng/nano4
  • https://www.mathnet.ru/eng/nano/v8/i1/p24
    • This publication is cited in the following 1 articles:
    1. Allaberen Ashyralyev, Ali Sirma, Charyyar Ashyralyyev, “Highly accurate difference schemes for time‐nonlocal Schrodinger type problems”, Numerical Methods Partial, 39:3 (2023), 2584  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Nanosystems: Physics, Chemistry, Mathematics
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