The Science Academy of South Texas
Mercedes, Texas 78570, USA
email: feng14xi@gmail.com
Sebert Feng
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.
Submitted January 18, 2021. Published October 15, 2021.
Math Subject Classifications: 34A05, 34L30.
Key Words: Lie symmetry; Lienard equation; infinitesimal generator;
second-order ordinary differential equation; harmonic oscillator.
DOI: https://doi.org/10.58997/ejde.2021.85
Show me the PDF file (286 KB), TEX file for this article.
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Sebert Feng The Science Academy of South Texas Mercedes, Texas 78570, USA email: feng14xi@gmail.com |
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