most citedSelf-equivalence 3rd order ODEs by time-fixed transformations

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math.DG2007★ 1 cited

Galilean geometry of motions

Mehdi Nadjafikhah, Ahmad-Reza Forough

In this paper we show that Galilean group is a matrix Lie group and find its structure. Then provide the invariants of special Galilean geometry of motions, by Olver's method of mo…

math.DG2007★ 1 cited

Self-equivalence 3rd order ODEs by time-fixed transformations

Mehdi Nadjafikhah, Ahmad Reza Forough

Let y''' = f(x, y, y', y'') be a 3rd order ODE. By Cartan equivalence method, we will study the local equivalence problem under the transformations group of time-fixed coordinates.