84 citations · 1.3k across the 190 of their papers we have counts for
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Transform of Riccati equation of constant coefficients through fractional procedure
H. C. Rosu, L. Madueno, J. Socorro
We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is tra…
Korteweg-de Vries adiabatic index solitons in barotropic open FRW cosmologies
H. C. Rosu
Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H(η) of barotropic open FRW cosmologies is connected with a Kortewe…
Newton's laws of motion in form of Riccati equation
M. Nowakowski, H. C. Rosu
We discuss two applications of Riccati equation to Newton's laws of motion. The first one is the motion of a particle under the influence of a power law central potential $V(r)=k r…
Planetary g(t) for which resistive atmospheric falling is rising
H. C. Rosu, F. Aceves de la Cruz
A Darboux-transformed surface gravitational acceleration of the constant gravitational acceleration for a body endowed with an atmospheric layer is shown to turn the atmospheric fr…
One-parameter Darboux-transformed quantum actions in Thermodynamics
H. C. Rosu, F. Aceves de la Cruz
We use nonrelativistic supersymmetry, mainly Darboux transformations of the general (one-parameter) type, for the quantum oscillator thermodynamic actions. Interesting Darboux gene…
Gravitational bouncing of a quantum ball: Room for Airy's function Bi
H. C. Rosu
I apply (i) a classical version of the Ermakov-Lewis procedure and (ii) the strictly isospectral supersymmetric approach to the Schroedinger free fall of the bouncing ball type. In…