Obtaining time-dependent invariants by the Sarlet-Bahar method for a non-linear equation
Applying the Sarlet-Bahar method one obtains the invariant of equations of motion of the type ῤ + ω2(t)ρ/2 =ꭤ(t)F(β(t)ρ). The corresponding auxiliary equation for the Ermakov system is also obtained, and the results obtained by other authors are generalized.
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/932 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/932 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/21 |
| Sumario: | Applying the Sarlet-Bahar method one obtains the invariant of equations of motion of the type ῤ + ω2(t)ρ/2 =ꭤ(t)F(β(t)ρ). The corresponding auxiliary equation for the Ermakov system is also obtained, and the results obtained by other authors are generalized. |
|---|