Obtaining time-dependent invariants by the Sarlet-Bahar method for a non-linear equation

Authors

  • E. González-Acosta
  • M.G. Corona-Galindo

Keywords:

Ermakov systems, Noether symmetries, Ermakov invariants, constants of motion

Abstract

Applying the Sarlet-Bahar method one obtains the invariant of equations of motion of the type $\overset{..}{\rho}+ \omega^{2}(t)\rho/2$ = $\alpha(t)F(\beta(t)\rho).$ The corresponding auxiliary equation for the Ermakov system is also obtained, and the results obtained by other authors are generalized.

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Published

2007-01-01

Issue

Vol. 53 No. 1 (2007): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.