Characterization of the Newtonian Free Particle System in \(m\geqslant 2\) Dependent Variables
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- Merker, J. Acta Appl Math (2006) 92: 125. doi:10.1007/s10440-006-9064-z
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Strikingly, the explicit differential system that we obtain is of first order in the case \(m\geqslant 2\), whereas according to a classical result due to Lie, it is of second order the case of a single equation \((m=1)\).