期刊论文详细信息
Pramana | |
Painlevé analysis and integrability of two-coupled non-linear oscillators | |
S Rajasekar1  | |
[1] $$ | |
关键词: Two-coupled non-linear oscillators; Painlevé analysis; exact analytical solution.; | |
DOI : | |
学科分类:物理(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Integrability of a linearly damped two-coupled non-linear oscillators equation egin{align*}ddot{x} & = -ddot{x} -𛼠x -ð›¿_{1}(x^{2}+y^{2})-2ð›¿_{2}xy,\ddot{y} & = -ddot{y}-𛽠y - ð›¿_{2}(x^{2}+y^{2})-2ð›¿_{1}xyend{align*}is investigated by employing the Painlevé analysis. The following two integrable cases are identified:ð‘‘=0, ð›¼=ð›½, ð›¿1 and ð›¿2 are arbitrary.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040496462ZK.pdf | 197KB | download |