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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 6, Pages 757–761
DOI: https://doi.org/10.17586/2220-8054-2015-6-6-757-761 (Mi nano989) 		 
Linearized KdV equation on a metric graph

Z. A. Sobirovab, M. I. Akhmedovb, O. V. Karpovacd, B. Jabbarovae

a Faculty of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok,100047 Tashkent, Uzbekistan
b Applied Mathematics Department of Tashkent Financial Institute, 100000 Tashkent, Uzbekistan
c Faculty of Physics, National University of Uzbekistan, Vuzgorodok, 100047 Tashkent, Uzbekistan
d Turin Polytechnic University in Tashkent, Uzbekistan
e Urganch State University, Urganch, Uzbekistan
Full-text PDF (219 kB)
DOI: https://doi.org/10.17586/2220-8054-2015-6-6-757-761
Abstract: We address a linearized KdV equation on metric star graphs with one incoming finite bond and two outgoing semi-infinite bonds. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.
Keywords: KdV, IBVP, PDE on metric graphs, exact solution, third order differential equations.
Received: 01.11.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 05.45.Yv
Language: English
Citation: Z. A. Sobirov, M. I. Akhmedov, O. V. Karpova, B. Jabbarova, “Linearized KdV equation on a metric graph”, Nanosystems: Physics, Chemistry, Mathematics, 6:6 (2015), 757–761
Citation in format AMSBIB
\Bibitem{SobAkhKar15}
\by Z.~A.~Sobirov, M.~I.~Akhmedov, O.~V.~Karpova, B.~Jabbarova
\paper Linearized KdV equation on a metric graph
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 6
\pages 757--761
\mathnet{http://mi.mathnet.ru/nano989}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-6-757-761}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000219897500003}
\elib{https://elibrary.ru/item.asp?id=25064798}
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