DR. VINEESH KUMAR
Assistant Professor
Nonlinear Partial Differential Equations, Soliton Theory, Analytical Methods
Mathematics and Astronomy
Basic Details
DR. VINEESH KUMAR
12062834
Assistant Professor
Mathematics and Astronomy
Qualification Details
| S.No. | Qualification | Name Of University | Passing Year |
|---|---|---|---|
| 1 | Ph.D. | University of Delhi | 2021 |
| 2 | M.Phil. | University of Delhi | 2017 |
| 3 | M.Sc. | Indian Institute of Technology Delhi | 2014 |
| 4 | B.Sc. (Hons.) | Banaras Hindu University | 2012 |
Positions Held
| S.No. | Employer | Designation | Employment Period | |
|---|---|---|---|---|
| Date from | Date to | |||
| 1 | O6166University of Lucknow | Assistant Professor | 18/01/2025 | Presently Working |
| 2 | O6167Siddharth University, Kapilvastu, Siddharthnagar | Assistant Professor | 24/12/2021 | 17/01/2025 |
| 3 | O6168Banda University of Agriculture and Technology | Assistant Professor | 06/11/2024 | 19/12/2024 |
Academic Details
Recent Significant Publications, Articles, Cases
| S.No. | Title | Journal | Volume/Issue | Year |
|---|---|---|---|---|
| 1 | O24364A. Verma and V. Kumar, Stochastic rogue waves and modified modulational instability in the coupled Hirota equation with multiplicative Itô noise | Physics Letters A (Elsevier) | 598 | 2026 |
| 2 | O24350V. Kumar and A. Verma, Attractor states and nonlinear stability in coupled nonlocal fractional media | Nonlinear Science (Elsevier) | 7 | 2026 |
| 3 | O24353V. Kumar and A. Verma, Dissipative quantum tunneling of TOD-drift in dark-bright solitons under asymmetric gain-loss waveguides | Nonlinear Dynamics (Springer) | 114 | 2026 |
| 4 | O24355V. Kumar and A. Verma, Exploring the shallow water waves near ocean beaches and lake shores via a Boussinesq–Burgers system | Chaos, Solitons and Fractals (Elsevier) | 213 | 2026 |
| 5 | O24351V. Kumar and A. Verma, PT-symmetry, interaction-induced PT-symmetry breaking, and phase scattering in multi-ring solitons with balanced gain–loss waveguides | Chaos, Solitons and Fractals (Elsevier) | 210 | 2026 |
| 6 | O24352V. Kumar and A. Verma, Soliton bound states and molecules formation via tail-mediated interactions | Physica D: Nonlinear Phenomena (Elsevier) | 497 | 2026 |
| 7 | O24354V. Kumar and A. Verma, Soliton control in temporally inhomogeneous plasmas and magneto-optical media via a variable-coefficient potential Kadomtsev–Petviashvili-B-type Kadomtsev–Petviashvili model | Journal of Mathematical Physics (American Institute of Physics) | 67 | 2026 |
| 8 | O24356V. 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 |
| 9 | O24357V. Kumar, Nonlinear waves and modulation instability in the generalized Burger-BBM equation | Nonlinear Science (Elsevier) | 2 | 2025 |
| 10 | O24358V. 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 |
| 11 | O24359A. Patel and V. Kumar, Modulation instability analysis of a nonautonomous (3+1)-dimensional coupled nonlinear Schrödinger equation | Nonlinear Dynamics (Springer) | 104 | 2021 |
| 12 | O24360V. 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 |
| 13 | O24361V. Kumar and A. Patel, Construction of the soliton solutions and modulation instability analysis for the Melnikov system | Chaos, Solitons & Fractals (Elsevier) | 140 | 2020 |
| 14 | O24362V. Kumar and A. Patel, Soliton solutions and modulation instability analysis of the coupled Zakharov-Kuznetsov equation | The European Physical Journal Plus (Springer) | 134 | 2019 |
| 15 | O24363A. 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 | O24880Participated 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 | O24881Participated 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 | O24882Delivered 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 | O24883Presented a research paper at the International Conference on Recent Advances in Fluid Mechanics ICRAFM-2022 at Manipal Institute of Technology, MAHE, Manipal. | 2022 |
| 5 | O24884Presented a Contributed Talk at the 4th BRICS Mathematics Conference in India at IISER Thiruvananthapuram | 2020 |
| 6 | O24885Participated 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 | O24886Participated 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 | O24879CSIR-JRF | 2016 |
| 2 | O24878Rajiv Gandhi National Fellowship awarded by the University Grant Commission (UGC), Government of India. | 2016 |
Teaching Areas / Specialization
| S.No. | Details |
|---|---|
| 1 | O15036Complex Analysis |
| 2 | O15037Geometry |
| 3 | O15038Linear & Abstract Algebra |
| 4 | O15039Applicable Mathematics |
| 5 | O15040Differential Equations |
Research Areas & Interests
| S.No. | Details |
|---|---|
| 1 | O15041Mathematical Physics |
| 2 | O15042Nonlinear Dynamics |
| 3 | O15043Nonlinear Partial Differential Equations |
| 4 | O15044Soliton Theory |
| 5 | O15045Analytical Methods |