Geometry of Solutions of the Quasi-Vortex Filament Equation in Euclidean 3-Space E3-Reference-Cited by-同舟云学术

Geometry of Solutions of the Quasi-Vortex Filament Equation in Euclidean 3-Space E3

Published:2022-03-10 Issue:6 Volume:10 Page:891
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hamouda Ebrahem,Moaaz Osama^ORCID,Cesarano Clemente,Askar Sameh^ORCID,Elsharkawy Ayman^ORCID

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 E3 using the quasi-frame. In particular, we discuss some geometric properties and some characterizations of parameter curves of these surfaces in E3.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/10/6/891/pdf

Reference22 articles.

1. Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque

2. Rediscovery of Da Rios equations

3. Localized-Induction Concept on a Curved Vortex and Motion of an Elliptic Vortex Ring

4. On the curvature and torsion of an isolated vortex filament

5. On the theory of the dispersion of magnetic permeability in ferromagnetic bodies;Landau;Phys. Z. Sowjet.,1935

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quasi-position vector curves in Galilean 4-space;Frontiers in Physics;2024-07-24

2. Geometry of solutions of the geometric curve flows in space;Electronic Journal of Applied Mathematics;2023-10-29

3. On Some Quasi-Curves in Galilean Three-Space;Axioms;2023-08-27

4. Mannheim curves and their partner curves in Minkowski 3-space E ₁ ³;Demonstratio Mathematica;2022-01-01

5. The non-linear Schrödinger equation associated with the soliton surfaces in Minkowski 3-space;AIMS Mathematics;2022