🧠 Expertise Field

Differential & Integral Calculus

Complex Variable

Coordinate Geometry & Vector Analysis

Ordinary & Partial Differential Equations

Linear Algebra

Numerical Method

Laplace Transform & Fourier Series

Statistics

📊 Research Area

Mathmetical Physics
Non-Linear Science 
Solitary Wave

📰 Publication

Journal

1.     S M Yiasir Arafat, M Asif, M M Rahman, “Nonlinear dynamic wave properties of travelling wave solutions in (3+1)-dimensional mKdV-ZK model”, PLOS One, Vol. 20(1), Art. e0306734, 2025:(Indexed: Web of Science, SCOPUS, IF: 2.9, Public Library of Science)

2.     S M Yiasir Arafat, MA Saklayen, SMR Islam, “Analyzing diverse soliton wave profiles and bifurcation analysis of the (3+ 1)-dimensional mKdV–ZK model via two analytical schemes”, AIP Advances, Vol. 15(1), 2025:(Indexed: Web of Science, SCOPUS, IF: 1.4, American Institute of Physics)

3.     S M Yiasir Arafat, M Asif, SMR Islam, MA Saklayen and MM Rahman “Investigating travelling wave solutions of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation through the two analytical techniques”, Physica Scripta, Vol. 100(1), Art. 015285, 2024:(Indexed: ISI, SCOPUS, IF: 2.6, IOP Publishing Ltd.)

4.     S M Yiasir Arafat, SMR Islam, “Bifurcation analysis and soliton structures of the truncated M-fractional Kuralay-II equation with two analytical techniques”, Alexandria Engineering Journal, Vol. 105 pp. 70-87, 2024:(Indexed: SCIE, SCOPUS, IF: 6.2, Elsevier)

5.     SMR Islam, S M Yiasir Arafat, H Alotaibi, M Inc, “Some optical soliton solution with bifurcation analysis of the paraxial nonlinear Schrödinger equation”, Optical and Quantum Electronics, Vol. 55(2), Art. 136, 2024:(Indexed: SCI, SCOPUS, IF: 3.0, Springer)

6.     SMR Islam, S M Yiasir Arafat, M Inc, “Exploring novel optical soliton for the stochastic chiral nonlinear Schrodinger equation: Stability analysis and impact of parameters”, Journal of Nonlinear Optical Physics & Materials, 2024:(Indexed: SCOPUS, IF: 2.7, World Scientific)

7.     S M Yiasir Arafat, SMR Islam, MM Rahman, MA Saklayen, “On nonlinear optical solitons of fractional Biswas-Arshed Model with beta derivative”, Results in Physics, Vol. 48, Art. 106426, 2023: (Indexed: SCI, SCOPUS, IF: 5.3, Elsevier)

8.     S M Yiasir Arafat, MM Rahman, MF Karim, MR Amin, “Wave profile analysis of the (2+ 1)-dimensional Konopelchenko–Dubrovsky model in mathematical physics”, Partial Differential Equations in Applied Mathematics, Art. 100573,  2023 : (Indexed: SCOPUS, Elsevier)

9.     S M Yiasir Arafat, K Fatema, SMR Islam, M Islam, MA Akbar, MS Osman, “The mathematical and wave profile analysis of the Maccari system in nonlinear physical phenomena”, Optical and Quantum Electronics, Vol. 55(2), Art. 136, 2023:(Indexed: SCI, SCOPUS, IF: 3.0, Springer)

10.  A Akbulut, SMR Islam, S M Yiasir Arafat, F Tascan “A novel scheme for SMCH equation with two different approaches”, Computational Methods for Differential Equations, Vol. 11(2), pp 263-280, 2023:(Indexed: Web of Science, SCOPUS, ISC IF: 0.188, University of Tabriz Publisher)

11.   S M Yiasir Arafat, K Khan, SMR Islam, MM Rahman, “Parametric effects on paraxial nonlinear Schrödinger equation in Kerr media”, Chinese Journal of Physics, Vol. 83 pp. 361-378, 2022 : (Indexed: Web of Science, SCOPUS, IF: 5.0, Elsevier)

12.  SMR Islam, S Khan, S M Yiasir Arafat, MA Akbar, “Diverse analytical wave solutions of plasma physics and water wave equations”, Results in Physics, Vol. 40, Art. 105834, 2022: (Indexed: SCI, SCOPUS, IF: 5.3, Elsevier Publisher)

13.  S M Yiasir Arafat, K Fatema, M Islam, MA Akbar, “Promulgation on various genres soliton of Maccari system in nonlinear optics”, Optical and Quantum Electronics, Vol. 54(4), Art. 206, 2022 :(Indexed: SCI, SCOPUS, IF: 3.0, Springer)

14.  MH Basar, S M Yiasir Arafat, SMR Islam, S Islam, MM Rahman, “Extraction of some optical solutions to the (2+ 1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches”, Partial Differential Equations in Applied Mathematics, Vol. 6, Art. 100404,  2022 : (Indexed: SCOPUS, Elsevier)

15.  MH Basar, S M Yiasir Arafat, SMR Islam, MM Rahman, “Wave solutions of the couple Drinfel’d–Sokolov–Wilson equation: new wave solutions and free parameters effect”, Journal of Ocean Engineering and Science, Article in press, 2022: (Indexed: SCIE, ESCI, SCOPUS, IF: 7.1, Elsevier)

16.  SMR Islam, S M Yiasir Arafat, H Wang, “Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation”, Journal of Ocean Engineering and Science, Vol. 8(3) pp. 238-245, 2022: (Indexed: SCIE, ESCI, SCOPUS, IF: 7.1, Elsevier)

17.   SMR Islam, MH Basar, S M Yiasir Arafat, H Wang, MM Roshid, “Effect of the free parameters to the Biswas-Arshed model with unified technique”, Chinese Journal of Physics, Vol. 77 pp. 2501-2519, 2022: (Indexed: Web of Science, SCOPUS, IF: 5.0, Elsevier)

18.  K Fatema, M Islam, S M Yiasir Arafat, MA. Akbar, “Solitons’ behavior of waves by the effect of linearity and velocity of the results of a model in magnetized plasma field”, Journal of Ocean Engineering and Science, Article in press, 2022: (Indexed: SCIE, ESCI, SCOPUS, IF: 7.1, Elsevier)

19.  S M Yiasir Arafat, SMR Islam, MH Basar, “Influence of the Free Parameters and Obtained Wave Solutions from CBS Equation”, International Journal of Applied and Computational Mathematics, Vol. 8(3), Art.99, 2022 : (Indexed: SCOPUS, Springer)

20.  SMR Islam, A Akbulut, S M Yiasir Arafat, “Exact solutions of the different dimensional CBS equations in mathematical physics”, Partial Differential Equations in Applied Mathematics, Vol. 5, Art. 100320,  2022 : (Indexed: SCOPUS,  Elsevier)

Conference

1.       M Asif, MM Roshid, S M Yiasir Arafat, MM Rahman, “Exploring dynamic behaviors of closed soliton-like solutions of (2+ 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation (BLMPE): A comparative study”, 23rd international mathematics conference on 16, 17 May 2024, Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh.

2.       S M Yiasir Arafat, MM Rahman, “Investigation of paraxial NLS equation’s closed form of soliton solutions and waveform profile”, 1st International Conference on Frontier in Sciences on 11-12 November 2022, Faculty of Science, BUET, Dhaka-1000.

3.       M Asif, S M Yiasir Arafat, SMR Islam, MM Rahman, “Wave profile analysis of the (3+1)-dimensional mKdV-ZK model in mathematical physics”, 1st National Conference on Advances in Science and Technology on 7-8 December 2023, Faculty of Science, BUET, Dhaka-1000.

4.       SMR Islam, S M Yiasir Arafat, Piyas MH, “On optical soliton solutions of the stochastic chiral nonlinear Schrödinger equation and its bifurcation analysis”, 1st National Conference on Advances in Science and Technology on 7-8 December 2023, Faculty of Science, BUET, Dhaka-1000.

🏆 Award & Scholarship

Ø  The A F Mujibur Rahman Gold Medal Award, Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000.

Ø  PG-Fellowship, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000.

Ø  Pabna University of Science and Technology Merit Scholarship during undergraduate student.

Ø  Junior Scholarship

Ø  Primary Scholarship

💼 Employment Record

Bangladesh University of Engineering and Technology (BUET) Research Fellow October 1, 2021 to May 31, 2023