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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 947–954
DOI: https://doi.org/10.17377/semi.2015.12.080 (Mi semr643) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Geometry and topology

On one family of finite gap curvilinear orthogonal coordinates

O. A. Bogoyavlenskayaab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova st., 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.080
Abstract: We propose a generalization of the procedure for constructing curvilinear orthogonal coordinates and, in particular, show how the isothermal elliptic coordinates on the plane are derived in the framework of the generalized construction.
Keywords: curvilinear orthogonal coordinates, elliptic coordinates.
Funding agency Grant number
Russian Science Foundation 14-11-00441
Received October 23, 2015, published December 7, 2015
Document Type: Article
UDC: 517.957
MSC: 14H70
Language: Russian
Citation: O. A. Bogoyavlenskaya, “On one family of finite gap curvilinear orthogonal coordinates”, Sib. Èlektron. Mat. Izv., 12 (2015), 947–954
Citation in format AMSBIB
\Bibitem{Bog15}
\by O.~A.~Bogoyavlenskaya
\paper On one family of finite gap curvilinear orthogonal coordinates
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 947--954
\mathnet{http://mi.mathnet.ru/semr643}
\crossref{https://doi.org/10.17377/semi.2015.12.080}
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