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Zbl 0814.70010
Kara, A.H.; Mahomed, F.M.; Leach, P.G.L.
Noether equivalence problem for particle Lagrangians.
(English)
[J] J. Math. Anal. Appl. 188, No.3, 867-884 (1994). ISSN 0022-247X

Summary: Representative(s) of equivalence class(es) of maximally symmetric particle Lagrangian(s) defined on the line that admit $r \in \{1,2,3,5\}$ Noether point symmetry (ies) is (are) classified.
MSC 2000:
*70H33 Symmetries
70H03 Lagrange's equations

Keywords: line; Noether point symmetry

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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