Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold
Author:
Funder
Eskişehir Osmangazi Üniversitesi
the National Research Foundation of Korea
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00010-023-01030-4.pdf
Reference19 articles.
1. Anco, S., Asadi, E.: Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems. J. Geom. Phys. 144, 324–357 (2019)
2. Arroyo, J., Garay, O.J., Pámpano, A.: Binormal motion of curves with constant torsion in 3-spaces. Adv. Math. Phys. Art. ID 7075831, 8 pp (2017)
3. Aydin, M.E., Mihai, A., Ogrenmis, A.O., Ergut, M.: Geometry of the solutions of localized induction equation in the pseudo-Galilean space. Adv. Math. Phys. Article ID 905978, 7 pages (2015)
4. Ding, Q., Inoguchi, J.: Schrodinger flows, binormal motion for curves and the second AKNS-hierarchies. Chaos Solitons Fractals 21, 669–677 (2004)
5. Gamayun, O., Lisovyy, O.: On self-similar solutions of the vortex filament equation. J. Math. Phys. 60, 083510 (2019)
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