Timelike \(W\)-surfaces in Minkowski 3-space \(\mathbb{R}_1^3\) and the sinh-Gordon equation

DOI10.1155/2022/7998748zbMath1502.53003OpenAlexW4220933148MaRDI QIDQ2138342

Nadia Alluhaibi, Rashad A. Abdel-Baky

Publication date: 11 May 2022

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/7998748

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04)

Related Items (1)

The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space

Cites Work

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• Bäcklund transformation for non-lightlike curves in Minkowski 3-space
• An analogue of Bäcklund's theorem in affine geometry
• The Bäcklund's theorem in Minkowski 3-space \(R^{3}_{1}\)
• A new approach for one-dimensional sine-Gordon equation
• Geometric aspects of Bäcklund transformations of Weingarten submanifolds
• New travelling wave solutions for sine-Gordon equation
• Bäcklund transformations for surfaces in Minkowski space
• Pseudospherical Surfaces and Evolution Equations
• W--line congruences

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