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 O4174University of Lucknow Assistant Professor 18/01/2025 Presently Working
2 O4175Siddharth University, Kapilvastu, Siddharthnagar Assistant Professor 24/12/2021 17/01/2025
3 O4176Banda University of Agriculture and Technology, Banda Assistant Professor 06/11/2024 19/12/2024

Academic Details

Recent Significant Publications, Articles, Cases

S.No. Title Journal Volume/Issue Year
1 O17052V. 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 O17053V. Kumar, Nonlinear waves and modulation instability in the generalized Burger-BBM equation Nonlinear Science (Elsevier) 2 2025
3 O17054V. 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 O17055A. Patel and V. Kumar, Modulation instability analysis of a nonautonomous (3+1)-dimensional coupled nonlinear Schrödinger equation Nonlinear Dynamics (Springer) 104 2021
5 O17056V. 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 O17057V. Kumar and A. Patel, Construction of the soliton solutions and modulation instability analysis for the Melnikov system Chaos, Solitons & Fractals (Elsevier) 140 2020
7 O17058V. 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 O17059A. 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 O15608Participated 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 O15609Participated 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 O15610Delivered 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 O15611Presented a research paper at the International Conference on Recent Advances in Fluid Mechanics ICRAFM-2022 at Manipal Institute of Technology, MAHE, Manipal. 2022
5 O15612Presented a Contributed Talk at the 4th BRICS Mathematics Conference in India at IISER Thiruvananthapuram 2020
6 O15613Participated 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 O15614Participated 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 O15616CSIR-JRF 2016
2 O15615Rajiv Gandhi National Fellowship awarded by the University Grant Commission (UGC), Government of India. 2016

Teaching Areas / Specialization

S.No. Details
1 O11482Differential Equations
2 O11483Applicable Mathematics
3 O11484Linear & Abstract Algebra
4 O11485Geometry

Research Areas & Interests

S.No. Details
1 O11486Nonlinear Partial Differential Equations
2 O11487Soliton Theory
3 O11488Analytical Methods