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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 199–216 (Mi znsl3648)  
Qualitative investigation of the three phase solutions of sine-Laplace equation

M. V. Babicha, L. A. Bordagb

a С.-Петербургское отделение Математического института им. В. А. Стеклова РАН
b Университет, Лейпциг
Full-text PDF (632 kB)
Abstract: Real three-phase solutions of the sine-Laplace equation are constructed. All smooth and singular real doubly periodic solutions are found. The corresponding three-dimensional theta functions are reduced to the elliptic Jacobi functions. Some classes of solutions with symmetries giving possibilities for physical applications are determined. Bibl. 19 titles.
Received: 20.10.1993
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1568–1580
DOI: https://doi.org/10.1007/BF02365203
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: English
Citation: M. V. Babich, L. A. Bordag, “Qualitative investigation of the three phase solutions of sine-Laplace equation”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 199–216; J. Math. Sci. (New York), 94:4 (1999), 1568–1580
Citation in format AMSBIB
\Bibitem{BabBor96}
\by M.~V.~Babich, L.~A.~Bordag
\paper Qualitative investigation of the three phase solutions of sine-Laplace equation
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 199--216
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3648}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856096}
\zmath{https://zbmath.org/?q=an:0930.35060}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1568--1580
\crossref{https://doi.org/10.1007/BF02365203}
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