arXiv subjects

H C Rosu

Publications and source records attributed to H C Rosu.

2 recordsLinked to original sources

arXiv2018

Riccati parametric deformations of the Cornu spiral

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.

math-ph↗

arXiv2004

Factorization of damped wave equations with cubic nonlinearities

The recent factorization scheme that we introduced for nonlinear polynomial ODEs in math-ph/0401040 is applied to the interesting case of damped wave equations with cubic nonlinearities. Traveling kink solutions are possible in the plane defined by the kink velocity versus the damping coefficient only along hyperbolas that are plotted herein

math-ph↗