Symmetry analysis for a second-order ordinary differential equation
Texas State University, Department of Mathematics
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.
Lie symmetry, Lienard equation, Infinitesimal generator, Second-order ordinary differential equation, Harmonic oscillator
Feng, S. (2021). Symmetry analysis for a second-order ordinary differential equation. <i>Electronic Journal of Differential Equations, 2021</i>(85), pp. 1-12.