On the symmetries of a nonlinear non-polynomial oscillator
Exactly Solvable and Integrable Systems
2016-07-20 v1
Abstract
In this paper, we unearth symmetries of different types of a nonlinear non-polynomial oscillator. The symmetries which we report here are adjoint-symmetries, contact symmetries and telescopic vector fields. We also obtain Jacobi last multipliers and Darboux polynomials as a by-product of our procedure. All the aforementioned quantities are derived from a Theorem proved by Muriel and Romero. The procedure which we present here is applicable to a class of nonlinear oscillator equations.
Keywords
Cite
@article{arxiv.1605.09633,
title = {On the symmetries of a nonlinear non-polynomial oscillator},
author = {R. Mohanasubha and M. Senthilvelan},
journal= {arXiv preprint arXiv:1605.09633},
year = {2016}
}
Comments
15 pages, submitted for publication