My publications

Ø Preprints and unpublished manuscripts

· Abelian Lie symmetry algebras of two-dimensional quasilinear evolution equations, (2021).

· Cartan equivalence method on fifth-order differential operator, (2021).

Ø Published papers

· (With M. Nadjafikhah) Fuzzy Lie Groups, Mathematical Science , Vol. 2, No. 2, 193-206, (2008).

· (With M. Nadjafikhah and A. Mehdipour-Shirayeh) A symmerty classification for a class of (2+1)-nonlinear wave equation, Nonlinear Analysis, Vol. 71 5164-5169, (2009).

· (With M. Nadjafikhah) Fuzzy differential invariant (FDI), Chaos, Solitons and Fractals, Vol.42, 1677-1683, (2009).

· (With M. Nadjafikhah) The Special Linear Representation of Compact Lie Group, Mathematical Sciences, Vol. 4, No. 3 349-358, (2010).

· (With M. Nadjafikhah) Symmetry group classification for general Burgers' equation, Commun Nonlinear Sci Numer Simulat, Vol. 15, 2303-2310, (2010).

· (With M. Nadjafikhah) Preliminarily group classification of a class of 2D nonlinear heat equations, IL NUOVO CIMENTO, Vol. 125 B, No. 12, (2010).

· (With M. Nadjafikhah and F. Ahangari) Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations, Appl. Math. Mech. Engl. Ed., Vol. 32, No. 12, 1607-1614, (2011).

· (With M. Nadjafikhah) Cartan equivalence method for third order differential operators, Turk. J. Math., Vol. 37, 949-958, (2013).

· (With M. Nadjafikhah) The equivariant moving frame method of third order differential equations, Bull. Malays. Math. Sci. Soc., Vol. 37 (2), 487--498, (2014).

· (With M. Nadjafikhah) Web geometry of a system of first order autonomous ordinary differential equations, J Dyn Control Syst, Vol. 21, 655-663, (2015).

· The Geometry of Fourth Order Differential Operator, International Journal of Geometric Methods in Modern Physics, Vol. 12, 1550055, (2015).

· (With M. Nadjafikhah) The stability of a connection on Hermitian vector bundles over a Riemannian manifold, Asian-European Journal of Mathematics, Vol. 09, No. 01, 1650001 (2016).

· Symmetry analysis of the charged squashed Kaluza-Klein black hole metric, Mathematical Methods in the Applied Sciences, Vol. 39, 3163-3172, (2016).

· Geometry of the curved traversable wormholes of (3+1)-dimensional spacetime metric, International Journal of Geometric Methods in Modern Physics, Vol. 14, 1750048, (2017).

· (With Martin Oberlack) Geometry of two-point velocity correlation tensor of incompressible and isotropic turbulence in helical coordinates, Journal of Mathematical Physics, Vol. 59, 103507 (2018).

· (With M. Alipour) On Lie Symmetry Classification and Numerical Analysis of KdV Equation with Power-law Nonlinearity, MATH. REPORTS 22(72), 2 163-176, (2020).

· (With D. Farrokh and M. Nadjafikhah), On the invariance properties of Vaidya-Bonner geodesics via symmetry operators, To appear in "International Journal of Nonlinear Analysis and Applications", (2020).

· On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry, Mathematical Researches 6 (4) :541-548, (2021).