O. A. Bogoyavlenskaya, “On one family of finite gap curvilinear orthogonal coordinates”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>947

This article is cited in 4 papers

Geometry and topology

On one family of finite gap curvilinear orthogonal coordinates

O. A. Bogoyavlenskaya^ab

^a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
^b Novosibirsk State University, Pirogova st., 2, 630090, Novosibirsk, Russia

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.

UDC: 517.957

MSC: 14H70

Received October 23, 2015, published December 7, 2015

DOI: 10.17377/semi.2015.12.080