2022 Timelike W-Surfaces in Minkowski 3-Space 13 and the Sinh-Gordon Equation
Nadia Alluhaibi, Rashad A. Abdel-Baky
Author Affiliations +
J. Appl. Math. 2022: 1-10 (2022). DOI: 10.1155/2022/7998748

Abstract

Let M and M be two timelike surfaces in Minkowski 3-space 13. If there exists a spacelike (timelike) Darboux line congruence between each point of M and M, then the surfaces are timelike Weingarten surfaces. It turns out their Tschebyscheff angles are solutions of the Sinh-Gordon equation, and the surfaces are related to each other by Backlund’s transformation. Finally, a method to construct new timelike Weingarten surface has been found.

Acknowledgments

The Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, has funded this project, under Grant no. KEP-47-130-42. The authors, therefore, gratefully acknowledge the DSR technical and financial support.

Citation

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Nadia Alluhaibi. Rashad A. Abdel-Baky. "Timelike W-Surfaces in Minkowski 3-Space 13 and the Sinh-Gordon Equation." J. Appl. Math. 2022 1 - 10, 2022. https://doi.org/10.1155/2022/7998748

Information

Received: 31 October 2021; Accepted: 7 February 2022; Published: 2022
First available in Project Euclid: 28 July 2022

MathSciNet: MR4395737
zbMATH: 1502.53003
Digital Object Identifier: 10.1155/2022/7998748

Rights: Copyright © 2022 Hindawi

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