Now showing items 1-4 of 4

    • Ermakov-Lewis invariants and Reid systems 

      Stefan C. Mancas; 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 ...
    • Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations 

      Stefan C. Mancas; Rosu Barbus, Haret-Codratian (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 

      Stefan C. Mancas; 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 

      Stefan C. Mancas; Rosu Barbus, Haret-Codratian (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 ...