Symmetry analysis for a second-order ordinary differential equation

Date

2021-10-15

Authors

Feng, Sebert

Journal Title

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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.

Rights

Attribution 4.0 International

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