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Classification of th order linear ODEs up to projective transformations
Mehdi Nadjafikhah, Seyed Reza Hejazi
Classification of th order linear ODEs is considered. The equation reduced to \textit{Laguerre-Forsyth} form by a point transformation then, the other calculations w…
Group classification of steady two-dimensional boundary-layer stagnation-point flow equations
Mehdi Nadjafikhah, Seyed Reza Hejazi
Lie symmetry group method is applied to study the boundary-layer equations for two-dimensional steady flow of an incompressible, viscous fluid near a stagnation point at a heated s…
Symmetry classification of Newtonian incompressible fluid's equations flow in turbulent boundary layers
Mehdi Nadjafikhah, Seyed Reza Hejazi
Lie symmetry group method is applied to study Newtonian incompressible fluid's equations flow in turbulent boundary layers. The symmetry group and its optimal system are given, and…
Variational problems without having any non-trivial Lie variational symmetries
Mehdi Nadjafikhah, Saeed Dodangeh
In this paper we construct variational problems without Lie non-trivial variational symmetry and solving them using new class of symmetries (-symmetry) which introduced by Guise…