Dr. Shafqat Ur Rehman

Dr. Shafqat Ur Rehman

Shafqat Ur Rehman is an assistant professor of Applied Mathematics at the Department of Mathematics Grand Asian University Sialkot. He received his PhD in 2023 from the University of Gujrat for his research in the field of Applied Mathematics. As a researcher, his research interests includes some analytical methods to extract exact solutions for nonlinear differential equations, mathematical physics, nonlinear optics  (of course ordinary, partial, fractional order, Stochastic) by using analytical and semi-analytical methods through computer programs such as Mathematica.

List of Published Papers

1. M. Younis, U. Younas, S. U.  Rehman, M. Bilal, A. Waheed, Optical bright–dark and Gaussian soliton with third order dispersion, Optik, 134 (2017) 233–238.
2. M. Younis, T. A.  Sulaiman, M. Bilal, S. U.  Rehman, U. Younas, Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation, Commun. Theor. Phys. 72 (2020) 065001 (12pp).
3. M. Younis, M. Bilal, S.U. Rehman,  U. Younas, S.T.R. Rizvi, Investigation of optical solitons in birefringent polarization preserving fibers with four-wave mixing effect, International Journal of Modern Physics B, 34 (2020)  2050113 (20 pages).
4. H. M.  Baskonus, M. Younis, M. Bilal, U. Younas, S.U. Rehman, W. Gao, Modulation instability analysis and perturbed optical soliton and other solutions to the Gerdjikov-Ivanov equation in nonlinear optics, Modern Physics letter B, 34  (2020) 2050404 (15 pages).
5. S. U. Rehman, A.R. Seadawy, M. Younis, S. T. R. Rizvi, T. A. Sulaiman, A. Yusuf, Modulation instability analysis and optical solitons of the generalized model for description of propagation pulses in optical fiber with four non-linear terms, Mod. Phys. letter B, 35 (06) (2020) 2150112.
6. S.U. Rehman, J. Ahmad, Modulation instability analysis and optical solitons in birefringent fibers to RKL equation without four wave mixing, Alexandria Engineering Journal, 60 (2021) 1339-1354.
7. A.R. Seadawy, S.U. Rehman, M. Younis, S. T. R. Rizvi, S. Althobaiti, M. M. Makhlouf,  Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation, Physica scripta, 96 (4) (2021) 045202.
8. U. Younis, T. A. Sulaiman, A. Yusuf, M. Bilal, M. Younis, S.U. Rehman, New Solitons and other solutions in saturated ferromagnetic materials modeled by Kraenkel–Manna–Merle system, Indian Journal Of Physics, 96 (2021) 181-191, doi.org/10.1007/s12648-020-01958-2
9. S.U. Rehman, A. Yusuf, M. Bilal, U. Younas, M. Younis, T.A. Sulaiman, Application of (G’/G^2)-expansion method to microstructured solids, magneto-electro-elastic circular rod and (2+1)-dimensional nonlinear electrical lines, Mathematics in Engineering, Science & Aerospace, 11 (4)  (2020) 789-803.
10. T.A. Sulaiman, U. Younas, A. Yusuf, M. Younis, M. Bilal, S.U. Rehman, Extraction of new optical solitons and MI analysis to three coupled Gross–Pitaevskii system in the spinor Bose–Einstein condensate, Modern Physisc Letters B, 36 (06) (2021) 2150109, doi.org/10.1142/S0217984921501098
11. T.A. Sulaiman, U. Younas, M. Younis, J. Ahmad, M. Bilal, S.U. Rehman, Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation, Computational Methods for Differential Equations, 10 (2022) 179-190.
12. H. Rezazadeh , M. Younis , S.U. Rehman, M. Eslami, M. Bilal , U. Younas, New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrodinger equation, Mathematical Modelling of Natural Phenomena, 16  (2021) 38, DOI: https://doi.org/10.1051/mmnp/2021004
13. M. Younis, U. Younas, M. Bilal, S. U. Rehman, S.T.R Rizvi, Investigation of optical solitons with Chen–Lee–Liu equation of monomode fibers by five free parameters, Indian Journal Of Physics, 96 (2022) 1539-1546.
14. M.Bilal, S.U. Rehman, U. Younas, H. M.  Baskonus, M. Younis, Investigation of shallow water waves and solitary waves to the conformable 3D-WBBM model by an analytical method, Physics Letters A, 403 (2021) 127388.
15. S.U. Rehman, M.Bilal, J. Ahmad, New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods, Results in Physics, 25 (2021) 104230.
16. M. Bilal, S.U.Rehman, J.Ahamd, Investigation of optical solitons and modulation instability analysis to the Kundu–Mukherjee–Naskar model, Optical and Quantum Electronics, 53 (2021) 283.
17. M. Bilal, U. Younas, M. Younis, H. Rezazadeh, T.A. Sulaiman, A. Yusuf, S. U. Rehman, On the exact traveling wave solutions to the van der Waals p-system, International Journal of Applied and Computational Mathematics, 7 (2021) 88.
18. M. Bilal, S.U. Rehman, J. Ahamd, Dynamics of nonlinear wave propagation to coupled nonlinear Schrodinger-type equations, International Journal of Applied and Computational Mathematics,7 (2021) 137.
19. S.U. Rehman, M. Bilal, J. Ahmad, Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method, Journal of Magnetism and Magnetics Materials,  538   (2021) 168245.
20. S.U. Rehman, A.R. Seadawy, M. Younis, S. T. R. Rizvi, On study of modulation instability and optical soliton solutions: the chiral nonlinear Schrodinger dynamical equation, Optical and Quantum Electronics, 52 (8) (2021) 411.
21. M. Younis, A.R. Seadawy, M. Bilal, S.U. Rehman, S. Latif, S. T. R. Rizvi, Kinetics of phase separation in Fe-Cr-X (X=Mo, Cu) ternary alloys- a dynamical wave study, International journal of modern physics B, 35 (2021) 2150220.
22. M. Younis, , M. Bilal, S.U. Rehman, A.R. Seadawy, S.T.R. Rizvi, Perturbed optical solitons with conformable time-space fractional Gerdjikov-Ivanov equation, Mathematical Science, 16 (2022) 431-443.
23. M.H. Raddadi, M. Younis, A.R. Seadawy, S.U. Rehman, M. Bilal, S.T.R. Rizvi, Ali Althobaiti, Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system, Journal of King Saud University-Science, 33 (2021)  101627, doi.org/10.1016/j.jksus.2021.101627
24. M. Bilal, S.U. Rehman, J. Ahmad, Lump-periodic, Some interaction phenomena and breather wave solutions to the (2+1)-rth dispersionless Dym equation, Modern Physics Lertters B, 36 (2022) 2150547.
25. A.R. Seadawy, S.U. Rehman, M. Younis, S. T. R. Rizvi, A. Althobaiti, On solitons: Propagation of shallow water waves for the fifth-order KdV hierarchy integrable equation, Open Physics, 19 (2021) 828-842.
26. S.U. Rehman, J. Ahmad, Dispersive multiple lump solutions and soliton’s interaction to the nonlinear dynamical model and its stability analysis, The European Physical Journal D, 76 (2022) 14. 
27. S.U. Rehman, M. Bilal, J. Ahmad, The study of solitary wave solutions to the time conformable Schrödinger system by a powerful computational technique, Optical and Quantum Electronics, 54 (2022) 228.
28. S.U. Rehman, A.R. Seadawy, S. T. R. Rizvi, S. Ahmad, S. Althobaiti, Investigation of double dispersive waves in nonlinear elastic inhomogeneous Murnaghan’s rod, Modern Physics Letters B, 36 (2022) 2150628.
29. M. Bilal, S.U. Rehman, J. Ahmad, Stability analysis and diverse nonlinear optical pluses of dynamical model in birefringent fibers without four-wave mixing, Optical and Quantum Electronics, 54 (2022) 277.
30. M. Bilal, S.U. Rehman, J. Ahmad, Dynamical nonlinear wave structures to the predator–prey model with conformable derivative and its stability analysis, Pramana, 96 (2022) 149
31. M. Bilal, M. Younis, S.U. Rehman, J. Ahmad, U. Younas, Investigation of new solitons and other solutions to the modified nonlinear Schrodinger equation in ocean engineering, Journal of Ocean Engineering and Science, doi.org/10.1016/j.joes.2022.04.031
32. S.U. Rehman, J. Ahmad, Dynamics of Optical and other soliton solutions in fiber Bragg gratings with Kerr law and stability analysis, Arabian Journal for Science and Engineering, 48 (2023) 803-819. doi.org/10.1007/s13369-022-06937-9
33. M. Bilal, S.U. Rehman, J. Ahmad, Dynamics of Diverse Optical Solitary Wave Solutions to the Biswas–Arshed Equation in Nonlinear Optics, International Journal of Applied and Computational Mathematics, 8 (2022) 137.
34. S.U. Rehman, J. Ahmad, Investigation of exact soliton solutions to Chen-Lee-Liu equation in birefringent fibers and stability analysis, Journal of Ocean Engineering and Science.  doi.org/10.1016/j.joes.2022.05.026  (Accepted)
35. M. Bilal, S.U. Rehman, J. Ahmad, The study of new optical soliton solutions to the time-space fractional nonlinear dynamical model with novel mechanisms, Journal of Ocean Engineering and Science. https://doi.org/10.1016/j.joes.2022.05.027
36. M. Bilal, S.U. Rehman, J. Ahmad, Dispersive solitary wave solutions for the dynamical soliton model by three versatile analytical mathematical methods, The European Physical Journal Plus, 137 (2022) 674.
37. S.U. Rehman, M.Bilal, M. Inc, U. Younas, H. Rezazadeh, M. Younis, S. M. Mirhosseini‑Alizamini, Investigation of pure‑cubic optical solitons in nonlinear optics, Optical and Quantum Electronics 54 (2022) 400.
38. S.U. Rehman, M. Bilal, J. Ahmad, Highly dispersive optical and other soliton solutions to fiber Bragg gratings with the application of different mechanisms, International journal of modern physics B, 36 (2022) 2250193. doi.org/10.1142/S0217979222501934
39. S.U. Rehman, J. Ahmad, Dynamics of optical and multiple lump solutions to fractional coupled nonlinear Schrodinger equation, Optical and Quantum Electronics, 54 (2022) 640. 10.1007/s11082-022-03961-9
40. M. Bilal, S.U. Rehman, J. Ahmad, Analysis in fiber Bragg gratings with Kerr law nonlinearity for diverse optical soliton solutions by reliable analytical techniques, Modern Physics Letters B, 36 (2022) 2250122.
41. S.U. Rehman, J. Ahmad, Diverse optical solitons to nonlinear perturbed Schrödinger equation with quadratic-cubic nonlinearity via two efficient approaches, Physica Scripta, 98 (2023) 035216.
42. S.U. Rehman, J. Ahmad, Stability analysis and novel optical pulses to Kundu-Mukherjee-Naskar model in birefringent fibers, International Journal of Modern Physics B, (2023).
43. S. Akram, J. Ahmad, S.U. Rehman, S. Sarwar, A. Ali, Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis, Optical and Quantum Electronics, 55 (2023) 450.
44. J. Ahmad, Z. Mustafa, S.U. Rehman, A. Zulfiqar, Solitonic solutions of two variants of nonlinear Schrodinger model by using exponential function method, Optical and Quantum Electronics, 55 (2023) 633.
45. S. Akram, S.U. Rehman, J. Ahmad, A. Ali, H. Rezazadeh, Soliton solutions for some higher order nonlinear problems of mathematical engineering, Nonlinear Engineering. Modeling and Application.
46. J. Ahmad, S. Akram, S.U. Rehman, A. Ali, Analysis of new soliton type solutions to generalized extended (2+1)-dimensional Kadomtsev–Petviashvili equation via two techniques, Ain Shams Engineering Journal, 15 (2024) 102302.
47. S. Akram, J. Ahmad, S.U. Rehman, T. Younas, Stability analysis and dispersive optical solitons of fractional Schrödinger Hirota equation, Optical and Quantum Electronics, 55 (2023) 664.
48. S. Akram, J. Ahmad, S.U. Rehman, Stability analysis and dynamical behavior of solitons in nonlinear optics modelled by Lakshmanan-Porsezian-Daniel equation, Optical and Quantum Electronics, 55 (2023) 685.
49. A. Ali, J. Ahmad, S. Javed, S.U. Rehman, Analysis of chaotic structures, bifurcation and soliton solutions to fractional Boussinesq model, Physica Scripta, 98 (2023) 075217.
50. J. Ahmad, Z. Mustafa, S.U. Rehman,  Dynamics of exact solutions of nonlinear resonant Schrödinger equation utilizing conformable derivatives and stability analysis, The European Physical Journal D, 77 (2023) 123.
51. A. Ali, J. Ahmad, S. Javed, S.U. Rehman, Exact soliton solutions and stability analysis to (3+1)-dimensional nonlinear Schrödinger model, Alexandria Engineering Journal, 76 (2023) 747-756.
52. J. Ahmad, S. Akram, S.U. Rehman, N.B. Turki, N.A. Shah, Description of soliton and lump solutions to M-truncated stochastic Biswas-Arshad model in optical communication, Results in Physics, 51 (2023) 106719.
53. S. Akram, J. Ahmad, S.U. Rehman, A. Ali, New family of solitary wave solutions to new generalized Bogoyavlensky-Konopelchenko equation in fluid mechanics, International Journal of Applied and Computational Mathematics, 9 (2023) 63.
54. J. Ahmad, Z. Ahmad, S.U. Rehman, N.B. Turki, N.A. Shah, Solitary wave structures for the stochastic Nizhnik–Novikov–Veselov system via modified generalized rational exponential function method, Results in Physics, 52 (2023) 106776.
55. S.U. Rehman, J. Ahmad, T. Muhammad, Dynamics of novel exact soliton solutions to Stochastic Chiral Nonlinear Schrödinger Equation, Alexandria Engineering Journal, 79 (2023) 568–580.
56. S. Akram, J. Ahmad, S.U. Rehman, S. Alkarni, N.A. Shah, Analysis of lump solutions and modulation instability to fractional complex Ginzburg–Landau equation arise in optical fibers, Results in Physics, 53 (2023) 106991.
57. S. Akram, J. Ahmad, S.U. Rehman, S. Alkarni, N.A. Shah, Exploration of solitary wave solutions of highly nonlinear KDV–KP equation arise in water wave and stability analysis, Results in Physics, 54 (2023) 107054.
58. S. Naz, A. Rani, Q.M.U Hassan, J. Ahmad, S.U. Rehman, M. Shakeel, Dynamic study of new soliton solutions of time-fractional longitudinal wave equation using an analytical approach, International Journal of Modern Physics B, https://doi.org/10.1142/S0217979224504204
59. J. Ahmad, S. Rani, T. Muhammad, S.U. Rehman, Dispersive soliton solutions to the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via an analytical method, Optical and Quantum Electronics, 56 (2024) 904.
60. J. Ahmad, M. Hameed, Z. Mustafa, S.U. Rehman, Soliton patterns in the truncated M-fractional resonant nonlinear Schrodinger equation via modified sub-equation method, Journal of Optics. https://doi.org/10.1007/s12596-024-01812-2
61. S.U. Rehman, J. Ahmad, K. S. Nisar, A.H. Abdel-Aty, Stability analysis, lump and exact solutions to Sharma–Tasso–Olver–Burgers equation, Optical and Quantum Electronics, 57 (2024) 1227.
62. J. Muhammad, S.U. Rehman, N. Nasreen, M. Bilal, U. Younas, Exploring the fractional effect to the optical wave propagation for the extended Kairat-II equation, Nonlinear Dynamics (2024). https://doi.org/10.1007/s11071-024-10139-3
63. J. Muhammad, M. Bilal, S.U. Rehman, N. Nasreen, U. Younas, Analyzing the decoupled nonlinear Schrödinger equation: fractional optical wave patterns in the dual-core fibers, Journal of Optics (2024). https://doi.org/10.1007/s12596-024-02236-8.
64. S.U. Rehman, M. Bilal, J. Ren, M. Bayram, M. Inc, Sensitivity analysis and dynamics of optical dromions in conformable generalized nonlinear Schrödinger systems, Physics Letters A ,531 (130168).