Contact & Basic Information
Phone:
Email: [email protected]
Join Date: 17/07/2026
Department: Mathematics
Address:
Educations
| Course | Institute | Board / University | Year | Subject |
|---|---|---|---|---|
| P.hD. | University of Kalyani | 2024 | Mathematics | |
| M.Sc. | NIT Rourkela | 2016 | Mathematics | |
| B.Sc. | University of Kalyani | 2014 | Mathematics |
Experiences
| Position | Year | Organisation | Specialisation |
|---|---|---|---|
| Assistant professor | 10.07.2025 - 13.07.2025 | Marwadi University | Nonlinear PDE |
| Assistant Professor | 04.11.2024 - 08.07.2025 | SR University | Nonlinear PDE |
Research Interest
My research focuses on Nonlinear Partial Differential Equations, integrable systems, and soliton theory, with emphasis on exact solutions and nonlinear wave phenomena. My interests include solitons, rogue waves, lumps, breathers, Hirota bilinear methods, Painlevé analysis, Lax pairs, and Bäcklund transformations. I also explore AI, PINNs, and bilinear neural networks for nonlinear PDEs and mathematical physics.Publications
International Journal Publications:
| Sl No. | Year | Publication Details | Indexing, Quartile & Impact Factor |
| 1. | 2026 | U. K. Mandal* and W.X. Ma, “Integrability analysis and exact solutions of a generalized breaking-soliton equation with fission-fusion phenomena,” International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 36, (2026). https://doi.org/10.1108/HFF-01-2026-0025 | SCIE, Q1,
IF: 5.3 |
| 2. | 2026 | A. Althobaiti, S. Malik, F. Alsharif, M.S. Murad and U.K.Mandal*, Wronskian, soliton, lump and lump-multi-kink solutions of a (3+1)-dimensional Boussinesq type equation via Hirota bilinear method and Ricatti method,” Pramana, Vol. 100, 80 (2026). https://doi.org/10.1007/s12043-026-03117-4 |
SCIE, Q2, IF: 2.3 |
| 3. | 2025 | U. K. Mandal*, “General solution for the second-order nonlocal linear differential equation,” Qualitative Theory of Dynamical Systems, Vol. 24, 232 (2025). https://doi.org/10.1007/s12346-025-01393-w |
SCIE, Q1, IF: 3.2 |
| 4. | 2025 | U. K. Mandal, S.Dutta, A.Das* and W.X.Ma*, “Integrability aspects, Wronskian solution, lump and lump-multi-kink solutions of an extended (3+1)-dimensional Bogoyavlensky Konopelchenko equation,” The European Physical Journal Plus, Vol. 140, 389 (2025). https://doi.org/10.1140/epjp/s13360-025-06273-5 | SCIE, Q1,
IF: 2.9 |
| 5. | 2025 | U. K. Mandal, B. Karmakar, S. Dutta and A. Das*, “Symmetry methods and multi structure solutions for a (3+1)-dimensional generalized nonlinear evolution equation,” Mathematics and Computers in Simulation, Vol. 233, pp. 259–275 (2025). https://doi.org/10.1016/j.matcom.2025.01.018 | SCIE, Q1,
IF: 4.0 |
| 6. | 2024 | U. K. Mandal*, A. Das and W.X. Ma*, “Integrability, breather, rogue wave, lump, lump-multi-stripe and lump-multi-soliton solutions of a (3+1)-dimensional nonlinear evolution equation,” Physics of Fluids, Vol. 36, 307151 (2024). https://doi.org/10.1063/5.0195378 | SCIE, Q1,
IF: 3.8 |
| 7. | 2024 | U. K. Mandal, S. Malik, S. Kumar, Yi Zhang and A. Das*, “Integrability aspects, rational type solutions and invariant solutions of an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation,” Chaos, Solitons and Fractals, Vol. 181, 114689 (2024). https://doi.org/10.1016/j.chaos.2024.114689 | SCIE, Q1,
IF: 5.7 |
| 8. | 2024 | U. K. Mandal, B. Karmakar, A. Das* and W.X. Ma*, “Integrability, bilinearization, exact traveling wave solutions, lump and lump-multi-kink solutions of a (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff equation,” Nonlinear Dynamics, Vol. 112, pp. 4727–4748 (2024). https://doi.org/10.1007/s11071-023-09028-y |
SCIE, Q1,
IF: 5.7 |
| 9. | 2023 | U. K. Mandal, S. Malik, S. Kumar and A. Das*, “A generalized (2 + 1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions,” Nonlinear Dynamics, Vol. 111, pp. 4593–4611 (2023). https://doi.org/10.1007/s11071-022-08036-8 | SCIE, Q1,
IF: 5.7 |
| 10. | 2021 | A. Das* and U. K. Mandal, “Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg–de Vries equation,” Communications in Nonlinear Science and Numerical Simulation, Vol. 102, 105936 (2021). https://doi.org/10.1016/j.cnsns.2021.105936 | SCIE, Q1,
IF: 3.8 |
| 11. | 2021 | P.K. Prasad, U.K. Mandal, A.Das and A.Saha*, “Phaseplaneanalysis and integrability via Bcklund transformation of nucleus-acoustic waves in white dwarf,” Chinese Journal of Physics, Vol. 73, pp. 534–545 (2021). https://doi.org/10.1016/j.cjph.2021.06.021 | SCIE, Q1,
IF: 5.3 |
Courses Taught
UG: Real Analysis.
PG:
Awards / Recognitions
Additional Assignments
B.Tech Projects & M.Tech Dissertation
Research Scholars/Ph.D. Supervised
Post-Doctoral Fellows
Academic Responsibility
- Faculty In-Charge and Faculty Mentor of the B.Tech. (M&C) 2nd Year Batch.:
Sponsored Research Project
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Memberships
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Invited Reviewer
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Training / Conference Attended
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Training / Conference Conducted
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