R. Bakhshandeh‐Chamazkoti

activity

20092025

most citedA symmetry classification for a class of (2+1)-nonlinear wave equation

10 citations · 13 across the 10 of their papers we have counts for

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8 papers · 1 filter

math.DG2022

Geometry of submanifolds of all classes of third-order ODEs as a Riemannian manifold

Z. Bakhshandeh-Chamazkoti, A. Behzadi, R. Bakhshandeh-Chamazkoti +1

In this paper, we prove that any surface corresponding to linear second-order ODEs as a submanifold is minimal in all classes of third-order ODEs $y^{'''} = f (x, y, p, q)$ as a Riemanni…

math.DG2022

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…

math.DG2021

Lorentz Ricci solitons of 4-dimensional non-Abelian nilpotent Lie groups

Rohollah Bakhshandeh-Chamazkoti

The goal of this paper is to investigate which one of thenon-isometric left invariant Lorentz metrics on 4-dimensional nilpotent Lie groups $H_{3} \times R$ and $G_{4}$ satisfy…

math.DG2021★ 1 cited

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…

math.DG2014★ 2 cited

The Geometry of Fourth Order Differential Operator

Rohollah Bakhshandeh-Chamazkoti

In present paper, the equivalence problem for fourth order differential operators with one variable under general fiber-preserving transformation using the Cartan method of equival…

math.DG2011

Cartan equivalence problem for third order differential operators

Mehdi Nadjafikhah, Rohollah Bakhshandeh-Chamazkoti

This article is dedicated to solve the equivalence problem for two third order differential operators on the line under general fiber--preserving transformation using the Cartan me…

math.DG2010

Web geometry of a system of n first order autonomous ordinary differential equations

Mehdi Nadjafikhah

Let $d x_{i} / d t = f_{i} (x_{1}, \dots, x_{n})$ , ( $i = 1, \dots, n$ ) be a system of $n$ first order autonomous ordinary differential equations. We use E. Cartan's equivalence method to study the in…

math.DG2009★ 10 cited

A symmetry classification for a class of (2+1)-nonlinear wave equation

Mehdi Nadjafikhah, Rohollah Bakhshandeh-Chamazkoti, Ali Mahdipour-Shirayeh

In this paper, a symmetry classification of a $(2 + 1)$ -nonlinear wave equation $u_{tt} - f (u) (u_{xx} + u_{y y}) = 0$ where $f (u)$ is a smooth function on $u$ , using Lie group method, is gi…