On certain types of point symmetries of systems of second-order ordinary differential equations |
| |
| Affiliation: | 1. Centre de recherches mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal (QC) H3C 3J7, Canada;2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke W., Montréal (QC) H3A 2K6, Canada;1. Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin 541002, PR China;2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541003, PR China;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China |
| |
| Abstract: | Existence criteria for some generic types of point symmetries of systems of n-second order ordinary differential equations are studied, specially in connection with the generation of semisimple subalgebras of symmetries belonging to the simple linear and orthogonal types, as well as their maximal dimension and rank. The structure of certain time-dependent symmetries, in particular scaling symmetries, are also studied, and the structure of the subalgebras they span determined. Generic examples illustrating the procedure are given. |
| |
| Keywords: | Lie symmetry method Second order systems of ODEs Lie algebra |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
