Riccati Parametric Deformations of the Cornu Spiral-Reference-Cited by-同舟云学术

Riccati Parametric Deformations of the Cornu Spiral

Published:2018-05-22 Issue:6 Volume:73 Page:479-484
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Rosu Haret C.¹^ORCID,Mancas Stefan C.²^ORCID,Flores-Garduño Elizabeth¹

Affiliation:

1. Instituto Potosino de Investigacion Cientifica y Tecnologica (IPICYT) , Camino a la presa San José 2055, Col. Lomas 4a Sección , 78216 San Luis Potos, S.L.P. , Mexico

2. Department of Mathematics , Embry-Riddle Aeronautical University , Daytona Beach, FL 32114-3900 , USA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2018-0111/pdf

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