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Simplification of a System of Geodesic Equations by Reference to Conservation Laws
2020
Journal of Mathematics Research
This paper is purposed to exploit prevalent premises for determining analytical solutions to di erential equations formulated from the calculus of variations. We realize this premises from the statement of Emmy Noether’s theorem; that every system in which a conservation law is observed also admits a symmetry of invariance (Olver, 1993, pp.242; Dresner, 1999, pp.60-62 ). As an illustration, the infinitesimal symmetries for Ordinary Di erential Equations (O.D.E’s) of geodesics of the
doi:10.5539/jmr.v12n5p37
fatcat:lnjgfyaumrhkpdcvxpjwjxcu6q