Group classification for path equation describing minimum drag work and symmetry reductions

作     者：M.PAKDEMIRLI Y.AKSOY 

作者机构：Department of Mechanical EngineeringCelal Bayar University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2010年第31卷第7期

页      面：911-916页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070105[理学-运筹学与控制论] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：minimum drag work Lie group theory group classification 

摘      要：The path equation describing the minimum drag work first proposed by Pakdemirli is reconsidered （Pakdemirli, M. The drag work minimization path for a fly- ing object with altitude-dependent drag parameters. Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science 223（5）, 1113- 1116 （2009））. The Lie group theory is applied to the general equation. The group classi- fication with respect to an altitude-dependent arbitrary function is presented. Using the symmetries, the group-invariant solutions are determined, and the reduction of order is performed by the canonical coordinates.