46 citations · 342 across the 43 of their papers we have counts for
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Generalized Cornu-type spirals and their Darboux parametric deformations
H. C. Rosu, S. C. Mancas, C. C. Hsieh
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 inv…
Traveling Wave Solutions to Fifth- and Seventh-order Korteweg-de Vries Equations: Sech and Cn Solutions
Stefan C. Mancas, Willy A. Hereman
In this paper we review the physical relevance of a Korteweg-de Vries (KdV) equation with higher-order dispersion terms which is used in the applied sciences and engineering. We al…
Stability analysis of orbital modes for a generalized Lane-Emden equation
Ronald Adams, Stefan C. Mancas, Haret C. Rosu
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some…
Riccati parametric deformations of the Cornu spiral
H C Rosu, S C Mancas, E. Flores-Garduno
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 Fr…