Recursion Formulae for Obtaining Surfaces with Constant Mean Curvature in R 2,1

DOI10.1088/0253-6102/47/2/003zbMath1355.37092OpenAlexW1986138506MaRDI QIDQ2960010

Zhijie Nan, Chou Tian, Yongbo Tian

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/47/2/003

zbMATH Keywords

Bäcklund transformationLax pairsrecursion formulatime-like surfaces with mean curvature

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) 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
• An analogue of Bäcklund's theorem in affine geometry
• Weingarten surfaces and nonlinear partial differential equations
• Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)
• The singular manifold method revisited