Symmetry analysis for a second-order ordinary differential equation

Electronic Journal of Differential Equations

article

Sebert Feng¹ 

[1] The Science Academy of South Texas Mercedes

关键词: Lie symmetry;    Lienard equation;    infinitesimal generator;    second-order ordinary differential equation;    harmonic oscillator.;   

DOI  :  10.58997/ejde.2021.85

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this article, we apply the Lie symmetry analysis to a second-order nonlinearordinary differential equation, which is a Lienard-type equation with quadraticfriction. We find the infinitesimal generators under certain parametric conditionsand apply them to construct canonical variables.Also we present some formulas for the first integral for this equation.

【 授权许可】

CC BY