Classification of integrable Weingarten surfaces possessing an \mathfrak{sl} (2)-valued zero curvature representation

DOI10.1088/0951-7715/23/10/013zbMath1204.53004arXiv1002.0992OpenAlexW3104685797MaRDI QIDQ3162700

Publication date: 21 October 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0992

Mathematics Subject Classification ID

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

Related Items (4)

Lax triples for integrable surfaces in three-dimensional space ⋮ 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 ⋮ Evolving to non-round Weingarten spheres: integer linear Hopf flows

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