A new interpretation of the Bäcklund transformation of the sine-Gordon equation

DOI10.2996/kmj/1138044158zbMath0955.35066OpenAlexW2003057009MaRDI QIDQ1577710

Zhen-Zu Sun, Ze-Jun Hu

Publication date: 21 February 2001

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044158

zbMATH Keywords

sine-Gordon equationBäcklund transformationsurfaces of constant Gauss curvature

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Surfaces in Euclidean and related spaces (53A05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
• An analogue of Bäcklund's theorem in affine geometry
• The construction of hyperbolic surfaces in 3 dimensional minkowski space and sinh-laplace equation
• Geometrical interpretation of the sinh-Gordon equation
• A bounded domain of holomorphy for which the volume of the h ^∞-envelope of holomorphy is infinite
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