84 citations · 1.3k across the 190 of their papers we have counts for
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math-ph2009★ 7 cited
A note on Verhulst's logistic equation and related logistic maps
M. Ranferi Gutierrez, M. A. Reyes, H. C. Rosu
We consider the Verhulst logistic equation and a couple of forms of the corresponding logistic maps. For the case of the logistic equation we show that using the general Riccati so…
math-ph2009★ 13 cited
Periodic Sturm-Liouville problems related to two Riccati equations of constant coefficients
K. V. Khmelnytskaya, H. C. Rosu, A. Gonzalez
We consider two closely related Riccati equations of constant parameters whose particular solutions are used to construct the corresponding class of supersymmetrically-coupled seco…
math-ph2009★ 6 cited
Solutions of the Perturbed KDV Equation for Convecting Fluids by Factorizations
O. Cornejo-Perez, H. C. Rosu
In this paper, we obtain some new explicit travelling wave solutions of the perturbed KdV equation through recent factorization techniques that can be performed when the coefficien…