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- Title
Riccati Parametric Deformations of the Cornu Spiral.
- Authors
Rosu, Haret C.; Mancas, Stefan C.; Flores-Garduño, Elizabeth
- Abstract
In this article, 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 and is related to the Fresnel integrals. The Argand plots of the deformed spirals are presented and a supersymmetric (Darboux) structure of the deformation is revealed through the factorization approach.
- Subjects
RICCATI equation; DARBOUX transformations; FRESNEL integrals; FACTORIZATION of operators; SPIRALS
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 6, p479
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2018-0111