On one family of finite gap curvilinear orthogonal coordinates
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 947-954

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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.
@article{SEMR_2015_12_a48,
     author = {O. A. Bogoyavlenskaya},
     title = {On one family of finite gap curvilinear orthogonal coordinates},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {947--954},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a48/}
}
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O. A. Bogoyavlenskaya. On one family of finite gap curvilinear orthogonal coordinates. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 947-954. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a48/