Weingarten surfaces and nonlinear partial differential equations

DOI10.1007/BF00773364zbMath0811.53006OpenAlexW2029440269WikidataQ115394882 ScholiaQ115394882MaRDI QIDQ1345022

Hongyou Wu

Publication date: 28 February 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00773364

zbMATH Keywords

Weingarten surfacessoliton equationgeometric scattering systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Surfaces in Euclidean and related spaces (53A05)

Related Items (5)

Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations ⋮ Recursion Formulae for Obtaining Surfaces with Constant Mean Curvature in R ^2,1 ⋮ Bäcklund transformations of linear Weingarten surfaces in Minkowski three-space ⋮ A generalized formula for integrable classes of surfaces in Lie algebras ⋮ Deformations of surfaces associated with integrable Gauss–Mainardi–Codazzi equations

Cites Work

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• Foliation on a surface of constant curvature and some nonlinear evolution equations
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations
• On the classification of constant mean curvature tori
• Pseudospherical Surfaces and Evolution Equations

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