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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 1990 Volume 181, Number 6, Pages 804–812 (Mi sm1143)
This article is cited in 13 papers

Real elliptic solutions of the “sine-Gordon” equation

A. O. Smirnov

Leningrad Institute of Aviation Instrumentation

Abstract: A method is proposed for constructing real finite-zone elliptic solutions of the sine-Gordon equation. Examples are considered of new elliptic smooth solutions of genera 2 and 3.

UDC: 517.5

MSC: Primary 35Q20; Secondary 14K20, 14K25

Received: 20.02.1989


 English version: Mathematics of the USSR-Sbornik, 1991, 70:1, 231–240

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