Riccati equations of opposite torsions from the Lie-Darboux method for spatial curves and possible applications

dc.contributor.author	Lemus Basilio, Paola
dc.contributor.author	Rosu Barbus, Haret-Codratian
dc.date.accessioned	2024-05-30T21:28:38Z
dc.date.available	2024-05-30T21:28:38Z
dc.date.issued	2024
dc.identifier.citation	Paola Lemus-Basilio and Haret C Rosu 2023 Phys. Scr. 98 105230
dc.identifier.uri	http://hdl.handle.net/11627/6576
dc.description.abstract	A novel formulation of the Lie-Darboux method of obtaining the Riccati equations for the spatial curves in Euclidean three-dimensional space is presented. It leads to two Riccati equations that differ by the sign of torsion. The case of cylindrical helices is used as an illustrative example. Possible applications in Physics are suggested.
dc.publisher	IOP
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Riccati equation
dc.subject	Frenet-Serret system
dc.subject	Lie-Darboux method
dc.subject	Cylindrical helix
dc.subject.classification	FISÍCA
dc.title	Riccati equations of opposite torsions from the Lie-Darboux method for spatial curves and possible applications
dc.type	article
dc.identifier.doi	https://doi.org/10.1088/1402-4896/acf896
dc.rights.access	Acceso Abierto

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional