Riccati parametric deformations of the Cornu spiral
Mathematical Physics
2018-06-12 v2 math.MP
Abstract
A parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation related to the Fresnel integrals. Argand plots of the deformed spirals are presented and a supersymmetric (Darboux) structure of the deformation is revealed through the factorization approach.
Keywords
Cite
@article{arxiv.1803.01058,
title = {Riccati parametric deformations of the Cornu spiral},
author = {H C Rosu and S C Mancas and E. Flores-Garduno},
journal= {arXiv preprint arXiv:1803.01058},
year = {2018}
}
Comments
7 twocolumn pages, 3 figures, minor revision, a factorization formula corrected, accepted by Zeitschrift Naturf. A