Eigenfunctions in the Dirichlet and Neumann boundary value problems for the elliptic sinh-Gordon equation on a ractangle

DOI10.1007/BF01098972zbMath0741.35054MaRDI QIDQ1189007

Alexander Ivanovich Bobenko

Publication date: 26 September 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionsDirichlet and Neumann boundary conditionselliptic sinh-Gordon equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) Classical differential geometry (53A99)

Cites Work

• Unnamed Item
• Algebro-geometric solutions of a boundary-value problem for the nonlinear Schrödinger equation
• Counterexample to a conjecture of H. Hopf
• Constant mean curvature tori in terms of elliptic functions.

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