46 citations · 342 across the 43 of their papers we have counts for
4 papers · 1 filter
Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations
M. A. Reyes, D. Gutierrez-Ruiz, S. C. Mancas +1
We present an approach to the bright soliton solution of the NLS equation from the standpoint of introducing a constant potential term in the equation. We discuss a `nongauge' brig…
Evolution of spherical cavitation bubbles: parametric and closed-form solutions
S. C. Mancas, H. C. Rosu
We present an analysis of the Rayleigh-Plesset equation for a three dimensional vacuous bubble in water. In the simplest case when the effects of surface tension are neglected, the…
Integrable Abel equations and Vein's Abel equation
Stefan C. Mancas, Haret C Rosu
We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equatio…
Barotropic FRW cosmologies with Chiellini damping in comoving time
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
For non-zero cosmological constant Lambda, we show that the barotropic FRW cosmologies as worked out in the comoving time lead in the radiation-dominated case to scale factors of i…