29 citations · 174 across the 54 of their papers we have counts for
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Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations
Mehdi Nadjafikhah, Ardavan Mokhtary
In this paper, the method of approximate transformation groups which was proposed by Baikov, Gazizov and Ibragimov, is extended on Hamiltonian and bi-Hamiltonian systems of evoluti…
Geometric study of Gardner equation
Mehdi Nadjafikhah, Ardavan Mokhtary
In this paper, we apply the method of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov, to compute the first-order approximate symmetry for the Gardner e…
Lie group analysis for short pulse equation
Mehdi Nadjafikhah
In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local sy…
Lie symmetries and conservation laws of the Hirota-Ramani equation
Mehdi Nadjafikhah, Vahid Vahid Shirvani-Sh
In this paper, Lie symmetry method is performed for the Hirota-Ramani (H-R) equation. We will find The symmetry group and optimal systems of Lie subalgebras. Furthermore, prelimina…
Symmetry classification and conservation laws for higher order Camassa-Holm equation
Mehdi Nadjafikhah, Vahid Shirvani-Sh
Lie symmetry group method is applied to study for the higher order Camassa-Holm equation. The symmetry group and its optimal system are given. Furthermore, preliminary classificati…
Lie symmetry analysis of the Grad-Shafranov equation
Mehdi Nadjafikhah, Parastoo Kabi-Nejad
The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose the Grad-…