D.A.V. COLLEGE
Pundri (Haryana)
NAAC ACCREDITED GRADE ‘B’
Pundri (Haryana)
NAAC ACCREDITED GRADE ‘B’
Assistant Professor, Department of Mathematics,
Contact (Off.): +91-9068270097
Email Address : vikasmath81@gmail.com
Presently working in DAV College Pundri, Kaithal from 02 April, 2013 continue…
Teaching experience at U.I.E.T. Kurukshetara University Kurukshetra 3.5 Years
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Vikas Kumar, Ram Jiwari, Aloev Rakhmatullo Djurayevich, and Mirzoali Urazaliyevich Khudoyberganov, Hyperbolic (3+1)-Dimensional Nonlinear Schrödinger Equation: Lie Symmetry Analysis and Modulation Instability, Journal of Mathematics, 2022, 9050272, 8, https://doi.org/10.1155/2022/9050272 (Hindawi, Impact Factor 1.555).
Vikas Kumar, Ram Jiwari, Aloev Rakhmatullo Djurayevich, and Mirzoali Urazaliyevich Khudoyberganov, Hyperbolic (2+1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations, Communications in Nonlinear Science and Numerical Simulation 115 (2022) 106784. (Elsevier, Impact Factor 4.186).
3.Vikas Kumar, Optical solitons and modulation instability for Cubic-quartic Fokas-Lenells equation, Partial Differential Equations in Applied Mathematics, 5 (2022) 100328. (Elsevier).
Vikas Kumar, Anjan Biswas, Mehmet Ekici, Luminita Moraru, Abdullah Khamis Alzahrani, Milivoj R. Belic, Time-dependent coupled complex short pulse equation: Invariant analysis and complexitons, Chaos, Solitons and Fractals 150 (2021) 111151 (Elsevier, Impact Factor 9.922).
Vikas Kumar, Sukhveer Singh, and Mehmet Emir Koksal, A Composite Algorithm for Numerical Solutions of Two-Dimensional Coupled Burgers’ Equations, Journal of Mathematics, 2021, 7240300, 13 https://doi.org/10.1155/2021/7240300, (Hindawi, Impact Factor 1.555).
Vikas Kumar, Abdul-Majid Wazwaz, Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation, Math Meth Appl Sci. (2021) 1-13. https://doi.org/10.1002/mma.7105 (Wiley, Impact Factor 3.007).
Ram Jiwari, Vikas Kumar and Sukhveer Singh, Lie group analysis, exact solutions and conservation laws to compressible isentropic Navier–Stokes equation, Engineering with Computers (2020) https://doi.org/10.1007/s00366-020-01175-9. (Springer, Impact Factor 8.083).
Vikas Kumar, Abdul-Majid Wazwaz, Lie symmetry analysis and soliton solutions for complex short pulse equation, Waves in Random and Complex Media, (2020) https://doi.org/10.1080/17455030.2020.1807074 (Taylor & Francis, Impact Factor 4.051).
Aisha Alqahtani and Vikas Kumar, Soliton solutions to the time-dependent coupled KdV-Burgers’ equation, Advances in Difference Equations, (2019) 493 https://doi.org/10.1186/s13662-019-2429-1493. (Springer, Impact Factor 1.510).
Vikas Kumar, Lakhveer Kaur, Ajay Kumar and Mehmet Emir Koksal, Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation, Results in Physics 08, 1136-1142, 2018. (Elsevier, Impact Factor 4.019).
Vikas Kumar, Modified ( G’/ G )-expansion method for finding traveling wave solutions of the coupled Benjamin-Bona-Mahony-KdV equation, Journal of Ocean Engineering and Science 4 (2019) 252-255 (Elsevier, Impact Factor 4.803).
Vikas Kumar and Aisha Alqahtani, Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation, Nonlinear Dynamics, 90 2903-2915, 2017. (Springer, Impact Factor 4.867).
Vikas Kumar, Ram Jiwari, Ram Karan and Ali Alshomrani, “Haar wavelet quasilinearization approach for MHD Falkner-Skan flow over permeable wall via Lie Group method”, International Journal of Numerical Methods for Heat and Fluid Flow, 27 (6) (2017). (Emerald, Impact Factor 2.871).
Vikas Kumar, R. K. Gupta and Ram Jiwari, “Exact and Numerical Solutions of Coupled Short Pulse Equation with Time Dependent Coefficients”, Nonlinear Dynamics. 79 (2015) 455-464. (Springer, Impact Factor 4.867).
Cleared National Eligibility Test (NET) for Junior Research Fellowship and Lectureship award conducted by Council of Scientific and Industrial Research (CSIR), 2007.
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Participated in workshop on Differential Equations and Mathematical Modelling, held at Delhi University, 9 to 11 Feb, 2012.
Participated in workshop on Computational Techniques for Differential Equations with MATLAB, held at IIT Roorkee, Roorkee, 2 to 06 July, 2015.
Presented the paper, titled “Lie Symmetry Analysis and Exact Solutions of Coupled Benjamin-Bona-Mahony-KdV Equation” in the international conference held during December 28-30, 2015 at Department of Mathematics SouthAsian University, New Delhi.
Presented the paper, titled “Lie Symmetry Analysis of Short Pulse Type Equation” in SIAM Conference on Analysis of Partial Differential Equations (PD19) during December 11-14, 2019 at LaQuinta Resort & Club, LaQuinta, California, U.S.