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arXiv · 1605.09633

On the symmetries of a nonlinear non-polynomial oscillator

R. Mohanasubha·M. Senthilvelan
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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.

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R. Mohanasubha, M. Senthilvelan. 2016-05-31. On the symmetries of a nonlinear non-polynomial oscillator. https://doi.org/10.1016/j.cnsns.2016.06.013

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