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Translated from Matematicheskie Zametki, Vol. 47, No. 1, pp. 147–156, January, 1990.
The author thanks S. P. Novikov and I. M. Krichever for their pointing out that the research on the sine-Laplace equation by the methods of finite-zonal integrations was incomplete, and B. A. Dobrovin for helpful discussions.
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Taimanov, I.A. Smooth real finite-zonal solutions of sine-Gordon equations. Mathematical Notes of the Academy of Sciences of the USSR 47, 94–100 (1990). https://doi.org/10.1007/BF01157291
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DOI: https://doi.org/10.1007/BF01157291