Original Articles

CANONICAL FORMS FOR PARTICLE LAGRANGIANS OF THE LINEAR SECOND-ORDER EQUATION

Published in: Quaestiones Mathematicae
Volume 17 , issue 4 , 1994 , pages: 469–477

DOI: 10.1080/16073606.1994.9631778

Author(s): A.A. Adam Department of Computational & Applied Mathematics, South Africa , F.M. Mahomed Department of Computational & Applied Mathematics, South Africa , A.H. Kara Department of Computational & Applied Mathematics, South Africa

Keywords: 34A34 , 22E70

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Abstract

A particle Lagrangian of a linear scalar second-order ordinary differential equation can admit maximally one of 1,2,3 or 5 Noether point symmetries. Moreover, canonical forms of particle Lagrangians of the linear equation are presented according to the number (and algebra) of Noether point symmetries they admit.

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