84 citations · 1.3k across the 190 of their papers we have counts for
191 papers
Riccati equations of opposite torsions from the Lie-Darboux method for spatial curves and possible applications
Paola Lemus-Basilio, Haret C. Rosu
A novel formulation of the Lie-Darboux method of obtaining the Riccati equations for the spatial curves in Euclidean three-dimensional space is presented. It leads to two Riccati e…
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…
Relativistic hyperbolic motion and its higher order kinematic quantities
Ivan Perez-Roman, Haret C. Rosu
We investigate the kinematics of the motion of an observer with constant proper acceleration (relativistic hyperbolic motion) in 1+1 and 1+3 dimensional Minkowski spacetimes. We pr…
Vanishing Poynting observers and electromagnetic field classification in Kerr and Kerr-Newman spacetimes
H. Vargas-Rodríguez, H. C. Rosu, M. G. Medina-Guevara +2
We consider electromagnetic fields having an angular momentum density in a locally non-rotating reference frame in Schwarzschild, Kerr, and Kerr-Newman spacetimes. The nature of su…