期刊论文详细信息
Electronic Journal of Differential Equations | |
Symmetry analysis for a second-order ordinary differential equation | |
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
【 预 览 】
Files | Size | Format | View |
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RO202307120000355ZK.pdf | 279KB | download |