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- Institute for Research in Fundamental SciencesIR3 papers
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- Islamic Azad University, TehranIR1 paper
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4 papers · 1 filter
Symmetry analysis of cylindrical Helmholtz equation
Mehdi Nadjafikhah, Ali Mahdipour-Shirayeh
In this paper, we present the point symmetry group of three-dimensional homogeneous Helmholtz equation, when we consider the cylindrical coordinate system. In continuation, we pres…
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…