Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 32-36
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A. I. Bobenko. Eigenfunctions of the Dirichlet and Neumann problems for the elliptic sinh-Gordon equation on a rectangle. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 32-36. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a3/
@article{ZNSL_1989_179_a3,
author = {A. I. Bobenko},
title = {Eigenfunctions of the {Dirichlet} and {Neumann} problems for the elliptic {sinh-Gordon} equation on a rectangle},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {32--36},
year = {1989},
volume = {179},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a3/}
}
TY - JOUR
AU - A. I. Bobenko
TI - Eigenfunctions of the Dirichlet and Neumann problems for the elliptic sinh-Gordon equation on a rectangle
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 32
EP - 36
VL - 179
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a3/
LA - ru
ID - ZNSL_1989_179_a3
ER -
%0 Journal Article
%A A. I. Bobenko
%T Eigenfunctions of the Dirichlet and Neumann problems for the elliptic sinh-Gordon equation on a rectangle
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 32-36
%V 179
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a3/
%G ru
%F ZNSL_1989_179_a3
The Dirichlet and Neumann zero boundary problems on a rectangular for the equation $\Delta u+\mathrm{sh}\, u=0$ are considered. All solutions are constructed explicitely by the finite-gap integration technique.