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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 1, Pages 45–56 (Mi iigum5)  
This article is cited in 2 scientific papers (total in 2 papers)

Integrable models of magnetic insulation and their exact radially symmetric solutions

A. A. Kosova, E. I. Semenova, A. V. Sinitsynb

a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (ISDCT SB RAS)
b Universidad Nacional de Colombia, Bogota, Colombia
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Abstract: A singular boundary value problem for the model of vacuum diode is studied. Integrability of the system of nonlinear differential equations is justified and a complete system of the first integrals is constructed. A method of solving singular boundary value problem is developed. The generalized model with Laplace's three-dimensional operator is offered. For the generalized model parametrical families of exact solutions are constructed.
Keywords: first integrals, integrability, singular boundary value problem, equations of elliptic type, exact solutions, vacuum diode.
Document Type: Article
UDC: 519.946
Language: Russian
Citation: A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Integrable models of magnetic insulation and their exact radially symmetric solutions”, Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 45–56
Citation in format AMSBIB
\Bibitem{KosSemSin13}
\by A.~A.~Kosov, E.~I.~Semenov, A.~V.~Sinitsyn
\paper Integrable models of magnetic insulation and their exact radially symmetric solutions
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2013
\vol 6
\issue 1
\pages 45--56
\mathnet{http://mi.mathnet.ru/iigum5}
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