Dr. Mehdi Nadjafikhah
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Dr. Mehdi Nadjafikhah

Professor
Department of Pure Mathematics and Computer Sciences, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

Highest Degree
Ph.D. in Pure Mathematics from Iran University of Science and Technology, Iran

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Biography

Dr. Mehdi Nadjafikhah is currently working as Faculty member in Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran. He has completed his Ph.D. in Pure Mathematics from Iran University of Science and Technology, Iran. His main area of interest focuses on applications of Symmetry and Lie groups to Dierential Equations, and Vice Versa. He successfully supervised 11 PhD projects and 38 MSc projects. He also completed 14 research projects. He has published 44 research articles in journals as well as 40 papers in conferences, 13 books and 19 lecture notes contributed as author/co-author. He is also serving as member of editorial board in Journal of Mathematics Research, Journal of Statistics and Mathematics, International Journal of Fundamental Physical Sciences, Mathematical Sciences Quarterly Journal, and International Journal of Fundamental Physical Sciences.

Area of Interest:

Mathematics
100%
Differential Geometry
62%
Lie Group Method
90%
Applied Mathematics
75%
Differential Equations
55%

Research Publications in Numbers

Books
14
Chapters
0
Articles
130
Abstracts
67

Selected Publications

  1. Vishkaei, H.T., M. Toomanian, R.C. Katamy and M. Nadjafikhah, 2022. On homogeneous weakly stretch finsler metrics. Bull. Iran. Math. Soc., 48: 19-30.
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  2. Farrokhi, D., R.B. Chamazkoti and M. Nadjafikhah, 2022. On the invariance properties of‎ Vaidya-Bonner geodesics via symmetry operators. Int. J. Nonlinear Anal. Appl., 13: 563-571.
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  3. Alimirzaluo, E., M. Nadjafikhah and J. Manafian, 2021. Some new exact solutions of (3+1)-dimensional Burgers system via Lie symmetry analysis. Adv. Differ. Equ., Vol. 2021. 10.1186/s13662-021-03220-3.
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  4. Yazdi, A.K., M. Nadjafikhah and J. Distefano, 2020. COMBOS2: An algorithm to the input-utput equations of dynamic biosystems via Gaussian elimination. J. Taibah Univ. Sci., 14: 896-907.
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  5. Momennezhad, Z. and M. Nadjafikhah, 2020. Group formalism of Lie transformations, exact solutions and conservation laws of nonlinear time-fractional Kramers equation. Int. J. Geom. Methods Mod. Phys., Vol. 17. 10.1142/S021988782050190X.
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  6. Nadjafikhah, M. and O. Chekini, 2015. Classical and partial symmetries of the Benney equation. Malaya J. Mat., 3: 86-92.
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  7. Nadjafikhah, M., N. Yaftian and S. Bakhshalizadeh, 2012. Mathematical creativity: Some definitions and characteristics. Procedia-Social Behav. Sci., 31: 285-291.
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  8. Nadjafikhah, M. and R. Aghayan, 2012. Geometry of distributions and F-Gordon equation. Math. Sci., Vol. 6. 10.1186/2251-7456-6-49.
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  9. Nadjafikhah, M. and F. Ahangari, 2012. Symmetry analysis and conservation laws of the geodesic equations for the Reissner-Nordstrom de Sitter black hole with a global monopole. Commun. Nonlinear Sci. Numer. Simul., 17: 2350-2361.
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  10. Nadjafikhah, M. and F. Ahangari, 2012. Lie symmetry analysis of the two-dimensional generalized kuramoto-sivashinsky equation. Math. Sci. 10.1186/2251-7456-6-3.
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  11. Nadjafikhah, M., R.B. Chamazkoti and F. Ahangari, 2011. Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations. Applied Math. Mech., 32: 1607-1614.
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  12. Nadjafikhah, M., N. Yaftian and S. Bakhshalizadeh, 2011. The perspective of creativity in the process of learning mathematics. J. Technol. Educ., 5: 251-264.
  13. Nadjafikhah, M. and V. Shirvani-Sh, 2011. Lie symmetry analysis of kudryashov-sinelshchikov equation. Math. Problems Eng. 10.1155/2011/457697.
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  14. Nadjafikhah, M. and S.R. Hejazi, 2011. Symmetry analysis of telegraph equation. Asian-Eur. J. Math., 4: 117-126.
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  15. Nadjafikhah, M. and F. Ahangari, 2011. Symmetry reduction of two-dimensional damped kuramoto-sivashinsky equation. Commun. Theor. Phys., 56: 211-217.
  16. Nadjafikhah, M. and F. Ahangari, 2011. Symmetry analysis and similarity reduction of the korteweg-de vries-zakharov-kuznetsov equation. Asian-Eur. J. Math. 10.1142/S1793557112500064.
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  17. Nadjafikhah, M. and A.H. Zaeim, 2011. Symmetry analysis of wave equation on hyperbolic space. Int. J. Nonlinear Sci., 11: 35-43.
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  18. Nadjafikhah, M. and A. Mahdipour-Shirayeh, 2011. Classification of curves in affine geometry. Differential Geometry Dynam. Syst., 13: 191-200.
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  19. Nadjafikhaha, M. and M. Mirafzal, 2010. Classification the integral curves of a second degree homogeneous ODE. Math. Sci., 4: 371-381.
  20. Nadjafikhah, M., 2010. Classification of similarity solutions for inviscid Burgers' equation. Adv. Applied Clifford Algebras, 20: 71-77.
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  21. Nadjafikhah, M. and R. Bakhshandeh-Chamazkoti, 2010. Symmetry group classification for general Burgers' equation. Commun. Nonlinear Sci. Numer. Simul., 15: 2303-2310.
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  22. Nadjafikhah, M. and P. Kabi-Nejad, 2010. On the properties of invariants of forms. Applied Sci., 12: 109-114.
  23. Nadjafikhah, M., R. Bakhshandeh-Chamazkoti and A. Mahdipour-Shirayeh, 2009. A symmetry classification for a class of (2+ 1)-nonlinear wave equation. Nonlinear Analysis: Theory Methods Applic., 71: 5164-5169.
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  24. Nadjafikhah, M., 2009. Symmetry analysis for a new form of the vortex mode equation. Differential Geometry-Dynamical Syst., 11: 144-154.
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  25. Nadjafikhah, M., 2009. Lie symmetries of inviscid Burgers' equation. Adv. Applied Clifford Algebras, 19: 101-112.
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  26. Nadjafikhah, M. and S.R. Hejazi, 2009. Symmetry analysis of the cylindrical Laplace equation. Balkan J. Geometry Applic., 14: 53-64.
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  27. Nadjafikhah, M. and R.B. Chamazkoti, 2009. Preliminarily group classification of a class of 2D nonlinear heat equations. J. Math. Anal. Applic. .
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  28. Nadjafikhah, M. and R. Bakhshandeh-Chamazkoti, 2009. Fuzzy Differential Invariant (FDI). Chaos Solitons Fractals, 42: 1677-1683.
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  29. Nadjafikhah, M. and P. Kabi-Nejad, 2009. Generating SL (2)-differential invariants by Hilbert's operators. Math. Sci., 3: 17-24.
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  30. Nadjafikhah, M. and S.R. Hejazi, 2008. Lie symmetries and solutions of KdV equation. Int. Math. Forum, 4: 165-176.
  31. Nadjafikhah, M. and S.R. Hejazi, 2008. First integrals of a special system of odes (technical note). Int. J. Eng., 21: 375-383.
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  32. Nadjafikhah, M. and S.M. Mousavi, 2008. The generalized classical time-space. Math. Sci., 2: 327-334.
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  33. Nadjafikhah, M. and R. Bakhshandeh-Chamazkoti, 2008. Fuzzy lie groups. Math. Sci., 2: 193-206.
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  34. Nadjafikhah, M. and A.R. Forough, 2008. Self equivalence 3rd order odes by time. Applied Sci., 10: 176-183.
  35. Nadjafikhah, M. and A.M. Sh, 2008. Affine classification of n-curves. Balkan J. Geometry Applic., 13: 66-73.
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  36. Nadjafikhah, M. and S.R. Hejazi, 2007. Differential Invariants of SL (2) and SL (3)-ACTIONS on R2. Math. Sci., 1: 75-84.
  37. Nadjafikhah, M. and R.B. Chamazkotiy, 2007. The special linear representations of compact Lie groups. Math. Sci., 4: 343-352.
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  38. Nadjafikhah, M. and A.R. Forough, 2007. Galilean geometry of motions. Applied Sci., 11: 91-105.
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  39. Nadjafikhah, M., 2006. Classification of cubics up to affine transformations. IUST Int. J. Eng. Sci., 18: 13-18.
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  40. Nadjafikhah, M. and H.S. Moghaddam, 2006. The lie algebra of smooth sections of a T-bundle. IUST Int. J. Eng. Sci., 17: 81-85.
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  41. Nadjafikah, M. and A.R. Forough, 2006. Classification of cubics up to affine transformations. Differential Geometry Dynamical Syst., 8: 184-195.
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  42. Nadjafikhah, M. and H.S. Moghaddam, 2005. T-Bundle: A generalization of tangent bundle. IUST Int. J. Eng. Sci., 16: 39-45.
  43. Nadjafikhah, M., 2004. On the classification of certain curves up to projective tranformations. Differential Geometry-Dynamical Syst., 6: 14-22.
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  44. Nadjafikhah, M., 2002. Affine differential invariants for planar curves. Balkan J. Geom. Appl., 7: 69-78.
  45. Nadjafikhah, M. and E. Esrafilian, 1997. A representation of the prolongations of a G-structure. J. Math., 30: 109-123.
  46. Esrafilian, E. and M. Nadjafikhah, 1997. A representation of the prolongations of a G-structure. Punjab Univ. J. Math., 30: 109-123.
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  47. Ebrahim, E. and N. Mhehdi, 1997. The tangent bundle of higher order. Nonlinear Analysis: Theory Methods Applic., 30: 5003-5007.
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  48. Ebrahim, E. and N. Mhehdi, 1992. Do not search the finite rings in far away. Roshd Magazine Math. Educ., 33: 13-25.