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arXiv · 1207.4945

On the complete integrability of a nonlinear oscillator from group theoretical perspective

A. Bhuvaneswari·V. K. Chandrasekar·M. Senthilvelan·M. Lakshmanan
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Abstract

In this paper, we investigate the integrability aspects of a physically important nonlinear oscillator which lacks sufficient number of Lie point symmetries but can be integrated by quadrature. We explore the hidden symmetry, construct a second integral and derive the general solution of this oscillator by employing the recently introduced $\lambda$-symmetry approach and thereby establish the complete integrability of this nonlinear oscillator equation from a group theoretical perspective.

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A. Bhuvaneswari, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan. 2012-07-20. On the complete integrability of a nonlinear oscillator from group theoretical perspective. https://doi.org/10.1063/1.4731238

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