46 citations · 342 across the 43 of their papers we have counts for
44 papers
Liouville soliton surfaces obtained using Darboux transformations
S. C. Mancas, K. R. Acharya, H. C. Rosu
In this paper, Liouville soliton surfaces based on some soliton solutions of the Liouville equation are constructed and displayed graphically, including some of those corresponding…
One-parameter Darboux-deformed Fibonacci numbers
H. C. Rosu, S. C. Mancas
One-parameter Darboux deformations are effected for the simple ODE satisfied by the continuous generalizations of the Fibonacci sequence recently discussed by Faraoni and Atieh [Sy…
Factorization conditions for nonlinear second-order differential equations
G. Gonzalez, H. C. Rosu, O. Perez-Cornejo +1
For the case of nonlinear second-order differential equations with a constant coefficient of the first derivative term and polynomial nonlinearities, the factorization conditions o…
Factorization method for some inhomogeneous Lienard equations
O. Cornejo-Perez, S. C. Mancas, H. C. Rosu +1
We obtain closed-form solutions of several inhomogeneous Lienard equations by the factorization method. The two factorization conditions involved in the method are turned into a sy…
Radius evolution for bubbles with elastic shells
S. C. Mancas, H. C. Rosu, C. -C. Hsieh
We present an analysis of an extended Rayleigh-Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membr…
Factorization of the Riesz-Feller fractional quantum harmonic oscillators
Haret C. Rosu, Stefan C. Mancas
Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romer…