Application of group analysis to classification of systems of three second‐order ordinary differential equations |
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| Authors: | S Suksern S Moyo S V Meleshko |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;2. Durban University of Technology, Department of Mathematics, Statistics and Physics, Institute for Systems Science, PO Box 1334, Steve Biko Campus, Durban 4000, South Africa;3. Suranaree University of Technology, School of Mathematics, Nakhon Ratchasima 30000, Thailand |
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| Abstract: | Here, we give a complete group classification of the general case of linear systems of three second‐order ordinary differential equations excluding the case of systems which are studied in the literature. This is given as the initial step in the study of nonlinear systems of three second‐order ordinary differential equations. In addition, the complete group classification of a system of three linear second‐order ordinary differential equations is carried out. Four cases of linear systems of equations are obtained. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | group classification linear equations admitted Lie group equivalence transformation |
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