Mehdi Nadjafikhah's Homepage

• Calculation of differential invariants of SL(2) and SL(3)-group action, Persian, 2008. (with S.R. Hejazi)
• Galiliean classification of spacetime curves, Submitted by Com. Cont. Math., 2008. (with A. Mahdipour-Sh.)
• Group analysis of three dimensional Euler equations of gas dynamics, Submitted by Balkan Journal of Geometry and Its Applications, 16 pages, 2010.
• Exact solution of generalized inviscid Burgers' equation, 4 pages, 2008.
• Symmetries of 2nd and 3rd order homogeneous ODEs, (with S.R. Hejazi)
• Symmetry of quadratic homogeneous differential systems, 2009. (with A. Mahdipour-Sh.)
• Classification of nth order linear ODEs up to projective transformations, Submitted by Iranian Journal of Mathematical Sciences and Informatics, 2010. (with S.R. Hejazi)
• Symmetry analysis of cylindrical Helmholtz equation, Submitted by Nonlinearity, 2008. (with A. Mahdipour-Sh.)
• Lie algebra structure of the symmetries of sourceless heat equations, Submitted by Iranian Journal of Science and Technology, Shiraz, 2008. (with S.R. Hejazi)
• Lie group analysis of Poisson's equation and optimal system of subalgebras for Lie algebra of 3-dimensional rigid motions, Submitted by International Journal of Nonlinear Science, 2010.
• Group classification and projective analysis of the nonlinear Fin equation, Submitted by Nonlinear analysis: Theory and applications, 2009. (with A. Mahdipour-Sh.)
• Di®erential forms for finding symmetries of differential equations, Submitted by 5th Seminar on Geometry and Topology 12-14 May 2009, University of Kurdistan, Sanandaj, Iran, 2009. (with S.R. Hejazi)
• Group analysis of Born-Infeld equation, Submitted by Journal of Differential Geometry and its Applications, 6 pages, 2010. (with S.R. Hejazi)
• Preliminary group classification of a class of 2D nonlinear heat equations, Submitted by Journal of Nuovo Cimento B, 2009. (with R. Bakhshandeh-Ch.)
• Group classification of steady two-dimensional boundary-layer stagnation-point flow equations, Submitted by Nonlinear analysis: Theory and applications, 6 pages, 2009. (with S.R. Hejazi)
• Symmetry classification of Newtonian incompressible fluid's equations flow in turbulent boundary layers, Submitted by Nonlinear analysis: Theory and applications, 11 pages, 2009. (with S.R. Hejazi)
• Web geometry of a system of n first order autonomous ordinary differential equations, Submitted by Qualitative Theory of Dynamical Systems, 2010. (arXiv)
• Application of Systems of Second Order Differential Equations in Characterization of Totally Geodesic Foliations, Submitted to The 4th Applied Mathematics Conference, 1388, Zahedan, Iran, March 10--12, 2010. (Persian) (with F. Ahangari)
• Variational problems without having any non-trivial Lie variational symmetries, Submitted by Note di matematica, 2010. (with S. Dodangeh)
• Nonclassical potential symmetry and conservation laws for generalized hyperbolic equations, Submitted by Physics Letters A, 7 Pages, 2010. (with R. Bakhshandeh-Ch. and F. Ahangari)
• The stability of a connection on Hermitian vector bundles over a Riemannian manifold, Submitted by Mediterranean Journal of Mathematics, 2010. (with R. Bakhshandeh-Ch.)
• Lie group analysis for generalized reaction-diffusion convection equation, Submitted by Communications in Nonlinear Science and Numerical Simulations, 10 pages, 2010. (with S. Dodangeh)
• Lie group analysis for short pulse equation, Submitted by Asian-European Journal of Mathematics, 6 pages, 2010.
• Lie symmetry analysis and linearizablility of the Hunter-Saxton equation, Submitted by Journal of Geometry and Physics, 17 pages, 2010. (with F. Ahangari)
• Generalization of Cartan's method of equivalence to immersions, 3th Mathematical Annual National Conference of PNU, 19-20 May 2010, Mashhad, Iran. (Persian) (with Y. Azadi-Ko.)
• Symmetry group analysis of nonlinear elastic rod equation, Submitted by International Journal of Nonlinear Science, 5 pages, 2010.
• Equivalence of third order differential operators, 2010. (with R. Bakhshandeh-Ch.)
• Symmetry analysis and similarity reduction for KdV-Burgers-Kuramoto equation, Submitted by Chaos, Solitons & Fractals, 10 pages, 2010. (with F. Ahangari and S. Dodangeh)
• Conservation laws and potential symmetries of the Hunter-Saxon equation, 9 pages, 2010. (with F. Ahangari)
• Group analysis via weak symmetries for Benjamin-Bona-Mahony equation, Submitted by Chaos, Solitons & Fractals, 8 pages, 2010. (with F. Ahangari and S. Dodangeh)
• On the Lie point symmetries of the vector Maxwell equations in non-linear optics, Submitted by Int. J. Computational Geometry & Applications, 8 pages, 2010. (with S.R. Hejazi)
• Point geometry of second order ordinary differential equations, 2010.
• The algebraic hyper-structure of elementary particles in physical theory, Submitted by Journal of Mathematical Physics , 2010. (with A. Dehghan Nezhad and S.M. Moosavi Nejad)
• Lie symmetry analysis for the general Camassa-Holm equation, Submitted by Journal of Nonlinear Mathematical Physics, 2010. (with P. Kabi-Nejad)
• Symmetry reduction of the two dimensional damped Kuramoto-Sivanshsky equation, 10 pages, 2010. (with F. Ahangari)
• Classification of Schwarzschild geodesics due to Lie symmetries, Submitted by Mathematical Models and Methods in Applied Sciences, 14 pages, 2010. (with S.R. Hejazi)
• On the Lie group analysis for one dimensional modied Kuramoto-Sivashinsky equation, Submitted by Bull. Aust. Math. Soc., 2010 (Collaborated by S. Dodangeh)
• Classical and Nonclassical symmetries of the (2 + 1)-dimensional Kuramoto-Sivashinsky equation,12 pages, Submitted by Mathematical Physics, Analysis and Geometry, 2011. (Collaborated by F. Ahangari) (Preprint)
• Lie symmetries of radiation natural convection ow past an inclined surface, Submitted by Communications in Nonlinear Science and Numerical Simulations, 9 pages, 2011. (Collaborated by M. Abdolsamadi and E. Oftadeh) (Preprint)
• Preliminary Lie group classication of the Grad-Shafranov equation, 2010. (Collaborated by P. Kabi- Nejad) (Preprint)
• Lie symmetry analysis and conservation laws of Hirota-Ramani equation, Submitted by CNSNS, 2011.(Collaborated by V. Shirvani-Sh.) (Preprint)
• Maurer-Cartan equations for Lie symmetry pseudo-groups of (2+1)??dimensional Lin-Tsien equation, 2011. (Collaborated by N. Asadi)
• Approximate symmetry analysis of Gardner equation, 2011. (Collaborated by A. Mokhtary)
• Symmetry classication and conservation laws for higher order Camassa-Holm equation, Submitted by Mathematical Physics, Analysis and Geometry, 2011. (Collaborated by V. Shirvani-Sh.) (Preprint)
• On the symmetry properties of a nonlinear acoustics model, Submitted by Mathematical Methods in the Applied Sciences, 2011. (Collaborated by L. Hamedi Mobara)
• Conservation laws and Hamiltonian symmetries of WBK equations, Submitted by Communications in Theoretical Physics, 2010. (Collaborated by P. Kabi-Nejad)
• The equivariant moving frame method of third order di_erential operators, Submitted by SIGMA, 2011. (Joint with R. Bakhshandeh-Ch.)
• Some exact solutions and geometric results on Hartree equation, 2011. (Collaborated by N. Asadi)

Some of my papers in arXiv.org as preprints

Some of my papers in Scholar Google