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Ø Preprints and unpublished manuscripts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).