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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.93

Received: 20.10.1993

Language: English


 English version:
Journal of Mathematical Sciences (New York), 1999, 94:4, 1568–1580

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© Steklov Math. Inst. of RAS, 2024