Symmetry analysis for a second-order ordinary differential equation
Files
Date
2021-10-15
Authors
Feng, Sebert
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Lie symmetry, Lienard equation, Infinitesimal generator, Second-order ordinary differential equation, Harmonic oscillator
Citation
Feng, S. (2021). Symmetry analysis for a second-order ordinary differential equation. <i>Electronic Journal of Differential Equations, 2021</i>(85), pp. 1-12.