Geometry of Solutions of the Quasi-Vortex Filament Equation in Euclidean 3-Space E 3

Ebrahem Hamouda, Osama Moaaz, Clemente Cesarano, Sameh Askar and Ayman Elsharkawy
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Ebrahem Hamouda: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Sameh Askar: Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Ayman Elsharkawy: Department of Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt

Mathematics, 2022, vol. 10, issue 6, 1-11

Abstract: This work aims at investigating the geometry of surfaces corresponding to the geometry of solutions of the vortex filament equation in Euclidean 3-space E 3 using the quasi-frame. In particular, we discuss some geometric properties and some characterizations of parameter curves of these surfaces in E 3 .

Keywords: vortex filament equation; Hasimoto surface; quasi-frame; Euclidean space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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