ListarDivisión de Nanociencias y Materiales por tema "Abel equation"

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    • 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 ...

    • 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 ...

    • 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 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 ...