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math.DG2010★ 1 cited
Group Analysis of Born-Infeld Equation
Mehdi Nadjafikhah, Seyed Reza Hejazi
Lie symmetry group method is applied to study the Born-Infeld equation. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetr…
math.DG2008
Symmetries of 2nd order ODE: y'' + G(x)y' + H(x)y = 0
Mehdi Nadjafikhah, Seyed-Reza Hejazi
This paper is devoted to study the Lie algebra of linear symmetries of a homogenous 2nd order ODE, by the method of Kushner, Lychagin and Robstov.
math.DG2007
Differential Invariants of SL(2) and SL(3)-ACTIONS on R^2
Mehdi Nadjafikhah, Seyed-Reza Hejazi
The main purpose of this paper is calculation of differential invariants which arise from prolonged actions of two Lie groups SL(2) and SL(3) on the th jet space of . It is…