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Geometry of Distributions and Gordon equation
Mehdi Nadjafikhah, Reza Aghayan
In this paper we describe the geometry of distributions by their symmetries, and present a simplified proof of the Frobenius theorem and some related corollaries. Then, we study th…
Exact solution of generalized inviscid Burgers' equation
Mehdi Nadjafikhah
Let be integrable functions, nowhere zero, and be invertible. An exact solution to the generalized nonhomogeneous inviscid Burgers…
Group analysis of three dimensional Euler equations of gas dynamics
Mehdi Nadjafikhah
In this paper, the equations governing the unsteady flow of a perfect polytropic gas in three space dimensions are considered. The basic similarity reductions for this system are p…
Symmetry of Quadratic Homogeneous Differential Systems
Mehdi Nadjafikhah, Ali Mahdipour-Shirayeh
In this paper, the symmetry group of a differential system of n quadratic homogeneous first order ODEs of n variables is studied. For this purpose, we consider the action of both p…
The Relation Between the Associate Almost Complex Structure to and -Cartan Connections
Ebrahim Esrafilian, Hamid Reza Salimi Moghaddam
In the present paper, the -Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure…