Recent Significant Publications, Articles, Cases
| S.No. |
Title |
Journal |
Volume/Issue |
Year |
| 1 |
O18747V. Kumar, A. Patel, M. Kumar, Dynamics of solitons and modulation instability in (2+1)-dimensional coupled nonlinear Schrödinger equation |
Mathematics and Computers in Simulation (Elsevier) |
235 |
2025 |
| 2 |
O18748V. Kumar, Nonlinear waves and modulation instability in the generalized Burger-BBM equation |
Nonlinear Science (Elsevier) |
2 |
2025 |
| 3 |
O18749V. Kumar and A. Patel, Dynamical behaviour of solitons and modulation instability analysis of a nonautonomous (1+1)-dimensional nonlinear Schrödinger equation |
Optik: International Journal for Light and Electron Optics (Elsevier) |
293 |
2023 |
| 4 |
O18750A. Patel and V. Kumar, Modulation instability analysis of a nonautonomous (3+1)-dimensional coupled nonlinear Schrödinger equation |
Nonlinear Dynamics (Springer) |
104 |
2021 |
| 5 |
O18751V. Kumar and A. Patel, Dispersion and phase managed optical soliton solutions of a nonautonomous (3+1)-dimensional coupled nonlinear Schrödinger equation |
Optik: International Journal for Light and Electron Optics (Elsevier) |
242 |
2021 |
| 6 |
O18752V. Kumar and A. Patel, Construction of the soliton solutions and modulation instability analysis for the Melnikov system |
Chaos, Solitons & Fractals (Elsevier) |
140 |
2020 |
| 7 |
O18753V. Kumar and A. Patel, Soliton solutions and modulation instability analysis of the coupled Zakharov-Kuznetsov equation |
The European Physical Journal Plus (Springer) |
134 |
2019 |
| 8 |
O18754A. Patel and V. Kumar, Dark and kink soliton solutions of the generalized ZK-BBM equation by iterative scheme |
Chinese Journal of Physics (Elsevier) |
56 |
2018 |
Conferences, Seminars &Talks
| S.No. |
Details |
Year. |
| 1 |
O16474Participated and presented a paper in International Conference on Advances in Pure and Applied Mathematics held in India at the Department of Mathematics, Shyam Lal College, University of Delhi |
2024 |
| 2 |
O16475Participated and presented a paper in the 70th Annual Conference of Bharata Ganita Parisad: Recent Advances in Mathematics & Applications-An International Meet held in India at the Department of Mathematics &Astronomy, University of Lucknow, Lucknow |
2023 |
| 3 |
O16476Delivered a lecture on “Soliton solutions of nonlinear evolution equation” on May 20, 2023, under Special Lecture Series at Siddharth University Kapilvastu, University Level. |
2023 |
| 4 |
O16477Presented a research paper at the International Conference on Recent Advances in Fluid Mechanics ICRAFM-2022 at Manipal Institute of Technology, MAHE, Manipal. |
2022 |
| 5 |
O16478Presented a Contributed Talk at the 4th BRICS Mathematics Conference in India at IISER Thiruvananthapuram |
2020 |
| 6 |
O16479Participated and presented a paper at the 33rd Annual Conference of The Ramanujan Mathematical Society held at the Department of Mathematics, University of Delhi, Delhi, India. |
2018 |
| 7 |
O16480Participated and presented a paper at the 2nd International Conference of Vijnana Parishad of India on Recent Trends of Computing in Mathematics, Statistics & Information Technologies held at the Department of Mathematical Sciences & Computer Applications, Bundelkhand University, Jhansi, India. |
2018 |
Awards & Recognitions
| S.No. |
Name Of Awards |
Year. |
| 1 |
O16482CSIR-JRF |
2016 |
| 2 |
O16481Rajiv Gandhi National Fellowship awarded by the University Grant Commission (UGC), Government of India. |
2016 |
Teaching Areas / Specialization
| S.No. |
Details |
| 1 |
O12370Differential Equations |
| 2 |
O12371Applicable Mathematics |
| 3 |
O12372Linear & Abstract Algebra |
| 4 |
O12373Geometry |
Research Areas & Interests
| S.No. |
Details |
| 1 |
O12374Nonlinear Partial Differential Equations |
| 2 |
O12375Soliton Theory |
| 3 |
O12376Analytical Methods |
