Symmetry analysis for a second-order ordinary differential equation
DOI:
https://doi.org/10.58997/ejde.2021.85Keywords:
Lie symmetry; Lienard equation; infinitesimal generator; second-order ordinary differential equation; harmonic oscillatorAbstract
In this article, we apply the Lie symmetry analysis to a second-order nonlinear ordinary differential equation, which is a Lienard-type equation with quadratic friction. We find the infinitesimal generators under certain parametric conditions and apply them to construct canonical variables. Also we present some formulas for the first integral for this equation.
For more information see https://ejde.math.txstate.edu/Volumes/2021/85/abstr.html
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