Listar División de Nanociencias y Materiales por autor "Mancas, Stefan C"

Mostrando ítems 1-20 de 23

    • Barotropic FRW cosmologies with Chiellini damping 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Chen, Pisin (2015)
      "It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting ...

    • Barotropic FRW cosmologies with Chiellini damping in comoving time 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Chen, Pisin (2015)
      "For nonzero cosmological constant ?, we show that the barotropic FRW cosmologies as worked out in the comoving time lead in the radiation-dominated case to scale factors of identical form as for the Chiellini dissipative ...

    • Ermakov-Lewis invariants and Reid systems 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2014)
      "Reid´s mth-order generalized Ermakov systems of nonlinear coupling constant ? are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is discussed from this perspective, and a closed ...

    • Evolution of spherical cavitation bubbles: parametric and closed-form solutions 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "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 known parametric solutions for the radius ...

    • Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for which we provide the phase-space analysis and ...

    • Factorization method for some inhomogeneous Lienard equations 

      Cornejo Pérez, Octavio; Mancas, Stefan C; Rosu Barbus, Haret-Codratian; Rico Olvera, Carlos (Sociedad Mexicana de Física, A. C., 2021)
      "The factorization of inhomogeneous Li\'enard equations is performed showing that through the factorization conditions involved in the method one can obtain forcing terms for which closed-form solutions exist. Because of ...

    • Factorization of the Riesz-Feller Fractional Quantum Harmonic Oscillators 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C (IOP Publishing, 2020)
      "Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results. ...

    • Generalized Cornu-type spirals and their Darboux parametric deformations 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Hsieh, Chun-Chung (Elsevier, 2019)
      "We generalize the Fresnel integrals and introduce a class of spirals F-n, which contains the Cornu spiral as the case F-2. Their Darboux parametric deformations are also investigated. The F-3 spiral and some of its Darboux ...

    • Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (Elsevier, 2017)
      "A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard ...

    • Integrable Abel equations and Vein's Abel equation 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "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 equation whose solutions are expressed in terms ...

    • Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2013)
      "We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic ...

    • Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (Elsevier, 2015)
      "We introduce a special type of dissipative Ermakov-Pinney equations of the form v?? + g(v)v? + h(v) = 0, where h(v) = h0(v) + cv?3 and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel ...

    • Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations 

      Reyes, Marco A.; Gutiérrez Ruiz, Daniel; Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a "nongauge" bright soliton for ...

    • One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Chen, Pisin (2014)
      "In the context of supersymmetric quantum mechanics, we define a potential through a particular Riccati solution of the composition form (F ◦ f)(x) = F(f(x)) and obtain a generalized Mielnik construction of one-parameter ...

    • One-parameter supersymmetric Hamiltonians in momentum space 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Chen, Pisin (2015)
      "Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201) are presented in a more general framework following our own papers. ...

    • Planar motion with Fresnel integrals as components of the velocity 

      Flores Garduño, Elizabeth; Mancas, Stefan C; Rosu Barbus, Haret-Codratian; Pérez Maldonado, Maximino (Sociedad Mexicana de Física, A.C., 2020)
      "We analyze the two-dimensional motion of a rigid body due to a constant torque generated by a force acting on the body parallel to the surface on which the body moves extending an old note of Ferris-Prabhu [Am. J. Phys. ...

    • Radius evolution for bubbles with elastic shells 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian; Hsieh, Chun-Chung (Elsevier, 2021)
      "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 membrane in bacteria or the envelope (capsid) ...

    • Riccati parametric deformations of the Cornu spiral 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Flores Garduño, Elizabeth (Walter de Gruyter GmbH, 2018)
      "In this article, a parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation and is related to the Fresnel integrals. ...

    • Shifted one-parameter supersymmetric family of quartic asymmetric double-well potentials 

      Rosu Barbus, Haret-Codratian; Mancas, Stefan C; Chen, Pisin (2014)
      "Extending our previous work (Rosu, Mancas, Chen, Ann.Phys. 343 (2014) 87-102), we define supersymmetric partner potentials through a particular Riccati solution of the form F(x) = (x − c)2 − 1, where c is a real shift ...

    • Stability analysis of orbital modes for a generalized Lane-Emden equation 

      Adams, Ronald; Mancas, Stefan C; Rosu Barbus, Haret-Codratian (Elsevier, 2019)
      "We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some of the structures observed in the atomic ...