最小阻力功路径方程的Lei群分类及其对称性化简

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Group Classification for the Path Equation Describing Minimum Drag Word and Symmetry Reductions

Department of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey

摘要: 重新考察虑了，最早由Pakdemirli提出的描述最小阻力功的路径方程．将Lie群理论应用于一般方程，提出了关系任意高程函数群的分类．利用对称性，确定群不变解，并利用正则坐标，降低方程的阶次．
- 最小阻力功 /
- Lie群理论 /
- 群分类
Abstract: Path equation describing minmium drag work first proposed by Pakdemirli [Pakdem irliM. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2009, 223(5): 1113-1116] was reconsidered. Lie Group theory was applied to the general equation. Group classification with respect to altitude dependent arbitrary function was presented. Using the symmetries, group-invariant solutions were determined and reduction of order by canonical coordinates was performed.
- minimum drag work /
- Lie group theory /
- group classification

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