On integrability of Weingarten surfaces: a forgotten class

DOI10.1088/1751-8113/42/40/404007zbMath1189.53006arXiv1002.0989OpenAlexW2044462100MaRDI QIDQ3654300

H. Baran, Michal Marvan

Publication date: 5 January 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0989

zbMATH Keywords

pseudospherical surfacesWeingarten surfacefocal surfacessurfaces of constant astigmatism

Mathematics Subject Classification ID

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

Related Items (9)

More exact solutions of the constant astigmatism equation ⋮ Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations ⋮ Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation ⋮ Geometry of jet spaces and integrable systems ⋮ Computing with Hamiltonian operators ⋮ Nonlocal conservation laws of the constant astigmatism equation ⋮ Rotational surfaces of constant astigmatism in space forms ⋮ On Lipschitz solutions of the constant astigmatism equation ⋮ A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces

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