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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/899| Integrable equations with Ermakov–Pinney nonlinearities and Chiellini damping | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.amc.2015.02.037 | |
| Dissipative Ermakov-Pinney equation Chiellini damping Reid nonlinearities Abel equation | |
| "We introduce a special type of dissipative Ermakov-Pinney equations of the form vζζ + g(v)vζ + h(v) = 0, where h(v) = h0(v) + cv−3 and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel equation. When h0(v) is a linear function, h0(v) = λ2v, general solutions are obtained following the Abel equation route. Based on particular solutions, we also provide general solutions containing a factor with the phase of the Milne type. In addition, the same kinds of general solutions are constructed for the cases of higher-order Reid nonlinearities. The Chiellini dissipative function is actually a dissipation-gain function because it can be negative on some intervals. We also examine the nonlinear case h0(v) = Ω20(v − v2) and show that it leads to an integrable hyperelliptic case." | |
| Elsevier | |
| 2015 | |
| Artículo | |
| Inglés | |
| Público en general | |
| Stefan C. Mancas, Haret C. Rosu, Integrable equations with Ermakov–Pinney nonlinearities and Chiellini damping, Applied Mathematics and Computation, Volume 259, 2015, Pages 1-11, ISSN 0096-3003, http://dx.doi.org/10.1016/j.amc.2015.02.037. | |
| CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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