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Generalized Cornu-type spirals and their Darboux parametric deformations

Authors :
Rosu, H. C.
Mancas, S. C.
Hsieh, C. C.
Source :
Phys. Lett. A 383, 2692-2697 (2019)
Publication Year :
2018

Abstract

We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also investigated. The F_3 spiral and its Darboux deformed counterparts are illustrated<br />Comment: 7 pages, 3 enclosed figures

Subjects

Subjects :
Mathematical Physics

Details

Database :
arXiv
Journal :
Phys. Lett. A 383, 2692-2697 (2019)
Publication Type :
Report
Accession number :
edsarx.1811.09328
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.physleta.2019.05.040