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Classification of first-order Lagrangians on the line |
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| Authors: | A H Kara F M Mahomed |
| Institution: | (1) Department of Mathematics, University of the Witwatersrand, P O Wits 2050, Johannesburg, South Africa;(2) Department of Computational and Applied Mathematics and Centre for Nonlinear Studies, University of the Witwatersrand, P O Wits 2050, Johannesburg, South Africa |
| Abstract: | We present a complete classification for first-order Lagrangians defined on the line according to the Noether point symmetry algebra they admit. All possible canonical forms of Lagrangians that admit Noether algebras are given. |
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