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

Author

Listed:
  • 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
    Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • 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)

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 .

Suggested Citation

  • Ebrahem Hamouda & Osama Moaaz & Clemente Cesarano & Sameh Askar & Ayman Elsharkawy, 2022. "Geometry of Solutions of the Quasi-Vortex Filament Equation in Euclidean 3-Space E 3," Mathematics, MDPI, vol. 10(6), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:891-:d:768607
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    References listed on IDEAS

    as
    1. Muhittin Evren Aydin & Adela Mihai & Alper Osman Ogrenmis & Mahmut Ergut, 2015. "Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-7, May.
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