- 1. Y. AryaNejad, M. Jafari and A Khalili, Examining (3+ 1)- Dimensional Extended
Sakovich Equation Using Lie Group Methods, International Journal of Mathematical
Modelling & Computations, 13(2)(2023), SPRING.
- 2. S. Azami and M. Jafari, Ricci Bi-Conformal Vector Fields on Homogeneous G¨odel-Type
Spacetimes, Journal of Nonlinear Mathematical Physics, 30(2023), 1700-1718.
- 3. G. W. Bluman, G. J. Reid and S. Kumei, New classes of symmetries for partial differential equations, Journal of Mathematical Physics, 29(1988), 806-811.
- 4. G. W. Bluman, A. F. Cheviakov and S. C. Anco, Applications of Symmetry Methods to
Partial Differential Equations, Appl. Math. Sciences, 168(2010), Springer, New York.
- 5. J. Boussinesq, The´orie de l’intumescence appele´e onde solitaire ou de translation se
propagente dans un canal rectangulaire, Comptes Rendus, 72(1871), 755-759.
- 6. N. H. Ibragimov, A. H. Kara and F. M. Mahomed, Lie-B¨acklund and Noether symmetries
with applications, Nonlinear Dynam., 15(1998), 115-136.
- 7. M. Jafari, On 4-dimensional Einsteinian manifolds with parallel null distribution, Mathematics and Society, 8(3)(2023), 55-79.
- 8. M. Jafari, Y. Alipour Fakhri and M. Khadivar, Densities and fluxes of the conservation
laws for the Kuramoto-Sivashinsky equation, Journal of Linear and Topological Algebra
11(01)(2022), 47-54.
- 9. M. Jafari and R. Darvazebanzade, Analyzing of approximate symmetry and new conservation laws of perturbed generalized Benjamin-Bona-Mahony equation, AUT Journal of
Mathematics and Computing, 5(1)(2024), 61-69.
- 10. M. Jafari and R. Darvazebanzade, Approximate symmetry group analysis and similarity
reductions of the perturbed mKdV-KS equation, Computational Methods for Differential
Equations, 11(1)(2023), 175-182.
- 11. M. Jafari and S. Mahdion, Non-classical symmetry and new exact solutions of the
Kudryashov-Sinelshchikov and modified KdV-ZK equations, AUT Journal of Mathematics and Computing, 4(2)(2023), 195-203.
- 12. M. Jafari, S. Mahdion, A. Akg¨ul and S. M. Eldin , New conservation laws of the Boussinesq and generalized Kadomtsev-Petviashvili equations via homotopy operator, Results
in physics, 47(2023), 106369.
- 13. M. Jafari and A. Tanhaeivash, Symmetry group analysis and similarity reductions of the
thin film equation, Journal of Linear and Topological Algebra, 10(04)(2021), 287-293.
- 14. M. Jafari, A. Zaeim and M. Gandom, On similarity reductions and conservation laws of
the two non-linearity terms Benjamin-Bona-Mahoney equation, Journal of Mathematical
Extension, 17(7)(2023), (1)1-22.
- 15. M. Jafari, A. Zaeim and S. Mahdion, Scaling symmetry and a new conservation law of
the Harry Dym equation, Mathematics Interdisciplinary Research, 6(2)(2021), 151-158.
- 16. M. Jafari, A. Zaeim and A. Tanhaeivash, Symmetry group analysis and conservation laws
of the potential modified KdV equation using the scaling method, International Journal
of Geometric Methods in Modern Physics, 19(07)(2022), 2250098.
- 17. M. Kamandar, Vortex Solutions for Thermohaline circulation Equations, Journal of
Mahani Mathematical Research, 12(1)(2023), 197-211.
- 18. A. H. Khater, D. K. Callebaut, S. F. Abdul-Aziz and T. N. Abdelhameed, Potential
symmetry and invariant solutions of Fokker-Planck equation modelling magnetic field
diffusion in magnetohydrodynamics including the Hall current, Physica A-statistical Mechanics and Its Applications - PHYSICA A, 341(2004), 107-122.
- 19. N. Liu, X. Liu and H. L¨u, New exact solutions and conservation laws of the (2 + 1)-
dimensional dispersive long wave equations, phys. Lett. A, 373(2009), 214-220.
- 20. M. Nadjafikhah, R. Bakhshandeh Chamazkoti and F. Ahangari, Potential symmetries
and conservation laws for generalized quasilinear hyperbolic equations, Applied Mathematics and Mechanics, 32(12)(2011), 1607-1614.
- 21. M. Nadjafikhah and M. Jafari, Some general new Einstein Walker manifolds, Advances
in Mathematical Physics, 2013(2013), Article ID 591852, 8 pages.
- 22. M. Nadjafikhah and M. Jafari, Symmetry reduction of the two-dimensional Ricci flow
equation, Geometry, 2013(2013), Article ID 373701.
- 23. M. Nadjafikhah and M. Jafari, Computation of partially invariant solutions for the Einstein Walker manifolds’ identifying equations, Communications in Nonlinear Science and
Numerical Simulation, 18(12)(2013), 3317-3324.
- 24. P. J. Olver, Applications of Lie group to Diferential Equations, Springer, New York, in:
Graduate Text Maths, 107(1986).
- 25. L. V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press, New York,
(1982).
- 26. E. Yasar and Teoman Ozer, Conservation laws for one-layer shallow water waves systems, Nonlinear Analysis: Real World Applications, 11(2010), 838-848.
- 27. A. Zaeim, M. Jafari and R. Kafimoosavi, On some curvature functionals over homogeneous Siklos space-times, Journal of Linear and Topological Algebra, 12(02)(2023),
105-112.
- 28. A. Zaeim, M. Jafari and M. Yaghoubi, Harmonic metrics on G¨odel-type spacetimes,
International Journal of Geometric Methods in Modern Physics, 17(6)(2020), 2050092.
|
