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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2, Pages 162–172
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-162-172 (Mi nano929) 		 
A solution of nonlinear Schrödinger equation on metric graphs

K. K. Sabirova, A. R. Khalmukhamedovb

a National University of Uzbekistan, 4 University St., 100074, Tashkent, Uzbekistan
b Tashkent branch of Moscow State University named after L. V. Lomonosov, 22 Amir Temur St., 100060, Tashkent, Uzbekistan
Full-text PDF (192 kB)
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-162-172
Abstract: We treat the Nonlinear Schrödinger equation (NLSE) on Metric graph. An approach developed earlier for NLSE on interval [14], is extended for star graph. Dirichlet boundary conditions are imposed at the ends of bonds are imposed, while continuity conditions are chosen at the vertex of graph.
Keywords: metric graphs, nonlinear Schrödinger equation, solitons.
Received: 02.02.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr,02.30.Ik
Language: English
Citation: K. K. Sabirov, A. R. Khalmukhamedov, “A solution of nonlinear Schrödinger equation on metric graphs”, Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015), 162–172
Citation in format AMSBIB
\Bibitem{SabKha15}
\by K.~K.~Sabirov, A.~R.~Khalmukhamedov
\paper A solution of nonlinear Schr\"odinger equation on metric graphs
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 2
\pages 162--172
\mathnet{http://mi.mathnet.ru/nano929}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-2-162-172}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000219891700003}
\elib{https://elibrary.ru/item.asp?id=23238118}
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