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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/892| Riccati-parameter solutions of nonlinear second-order ODEs | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1088/1751-8113/41/28/285206 | |
| Mathematical physics | |
| "It has been proven by Rosu and Cornejo-Pe´rez [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 differential operators. Here, it is shown that an interesting class of parametric solutions are easy to obtain if the proposed factorization has a particular form, which happily turns out to be the case in many problems of physical interest. The method that we exemplify with a few explicitly solved cases consists in using the general solution of the Riccati equation, which contributes with one parameter to this class of parametric solutions. For these nonlinear cases, the Riccati parameter serves as a ‘growth’ parameter from the trivial null solution up to the particular solution found through the factorization procedure." | |
| IOPSCIENCE | |
| 2008 | |
| Artículo | |
| Inglés | |
| Público en general | |
| M A Reyes and H C Rosu. 2008 J Phys A 41 285206 https://doi.org/10.1088/1751-8113/41/28/285206 | |
| 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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| Fichero | Descripción | Tamaño | Formato | |
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| JPhysA41(2008)285206.pdf | 186.72 kB | Adobe PDF | Visualizar/Abrir |