Abstract
The Dirichlet and Neumann zero boundary value problems on a rectangle for the equation Δu + sinhu=0 are considered. Exact solutions are constructed by means of finite-gap integration theory.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 179, pp. 32–36, 1989.
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Bobenko, A.I. Eigenfunctions of the Dirichlet and Neumann boundary value problems for the elliptic sinh-Gordon equation on a rectangle. J Math Sci 57, 3084–3086 (1991). https://doi.org/10.1007/BF01098972
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DOI: https://doi.org/10.1007/BF01098972