Browsing División de Nanociencias y Materiales by Author "Reyes, Marco A."

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    • A note on Verhulst's logistic equation and related logistic maps 

      Gutiérrez, M. Ranferí; Reyes, Marco A.; Rosu Barbus, Haret-Codratian (2010)
      "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 solution only changes the initial conditions ...

    • 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 ...

    • Riccati-parameter solutions of nonlinear second-order ODEs 

      Reyes, Marco A.; Rosu Barbus, Haret-Codratian (2008)
      "It has been proven by Rosu and Cornejo-Pérez [1, 2] that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order ...

    • Self-adjoint oscillator operator from a modified factorization 

      Reyes, Marco A.; Rosu Barbus, Haret-Codratian; Gutiérrez, M. Ranferí (2011)
      "By using an alternative factorization, we obtain a self-adjoint oscillator operator of the form Lδ=ddx(pδ(x)ddx)−(x2pδ(x)+pδ(x)−1), where pδ(x)=1+δe−x2, with δ∈(−1,∞) an arbitrary real factorization parameter. At positive ...

    • The three-step master equation: class of parametric stationary solutions 

      Rosu Barbus, Haret-Codratian; Reyes, Marco A.; Valencia Hernández, Felipe (2005)
      "We examine the three-step master equation from the standpoint of the general solution of the associated discrete Riccati equation. We report by this means stationary master solutions depending on a free constant parameter, ...