摘要
In this paper, a system of first order ordinary differential equations is expressed in the form of first order Lagrange equations. The determining equations of Lie symmetries are established by the invariance of the ordinary differential equations under the infinitesimal transformations. The condition under which a Lie symmetry can lead to a conserved quantity is obtained and the form of the conserved quantities is given.
源语言 | 英语 |
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页(从-至) | 1903 |
页数 | 1 |
期刊 | Wuli Xuebao/Acta Physica Sinica |
卷 | 49 |
期 | 10 |
出版状态 | 已出版 - 10月 2000 |
指纹
探究 'Lie symmetries and conserved quantities of first order lagrange systems' 的科研主题。它们共同构成独一无二的指纹。引用此
Mei, F. X., & Shang, M. (2000). Lie symmetries and conserved quantities of first order lagrange systems. Wuli Xuebao/Acta Physica Sinica, 49(10), 1903.