29 citations · 174 across the 54 of their papers we have counts for
56 papers
Cartan equivalence method on fifth-order differential operator
Morteza Bakhshandeh, Rohollah Bakhshandeh-Chamazkoti, Mehdi Nadjafikhah
In this paper, we carry out the equivalence problem for fifth-order differential operators on the line under general fiber-preserving transformation using the Cartan method of equi…
On the invariance properties of Vaidya-Bonner geodesics via symmetry operators
Davood Farrokhi, Rohollah Bakhshandeh-Chamazkoti, Mehdi Nadjafikhah
In the present paper, we try to investigate the Noether symmetries and Lie point symmetries of the Vaidya-Bonner geodesics. Classification of one-dimensional subalgebras of Lie poi…
Preliminary Group Classification and some exact solutions of 2Hessian equation
Mahdieh Yourdkhany, Mehdi Nadjafikhah, Megerdich Toomanian
We study the class of 3-dimensional nonlinear 2-hessian equations mentioned in the text. We perform preliminary group classification on 2-hessian equation. In fact, we find additio…
Contact equivalence problem for KDV-type equations
Mostafa Hesamiarshad, Mehdi Nadjafikhah
The Cartan's method of equivalence and moving coframe method has been applied to solve the local equivalence problem for KDV-type equations under the action of a pseudo-group of co…
Computation of Partially Invariant Solutions for the Einstein Walker Manifolds' Identifying Equations
Mehdi Nadjafikhah, Mehdi Jafari
In this paper, partially invariant solutions (PISs) method is applied in order to obtain new four-dimensional Einstein Walker manifolds. This method is based on subgroup classifica…
Symmetry Reduction of the Two-Dimensional Ricci Flow Equation
Mehdi Nadjafikhah, Mehdi Jafari
This paper is devoted to obtain the one-dimensional group invariant solutions of the two-dimensional Ricci flow ((2D) Rf) equation. By classifying the orbits of the adjoint represe…