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 <img src="../../../../../img/revistas/rmf/v53n1/a1s1.jpg">+ ω²(t)ρ/2 = α(t)F(β(t)ρ). The corresponding auxiliary equation for the Ermakov system...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Instituto Tecnológico y de Estudios Superiores de Monterrey |
| Repositorio: | Redalyc-ITESM |
| OAI Identifier: | oai:redalyc.org:57016046001 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57016046001 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Ermakov systems Noether symmetries Ermakov invariants constants of motion |
| Sumario: | Applying the Sarlet-Bahar method one obtains the invariant of equations of motion of the type <img src="../../../../../img/revistas/rmf/v53n1/a1s1.jpg">+ ω²(t)ρ/2 = α(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. |
|---|