D.A.V. COLLEGE

Pundri (Haryana)

NAAC ACCREDITED GRADE ‘B’
.

Arts & Commerce

Dr. VIKAS KUMAR

Assistant Professor, Department of Mathematics,

Contact (Off.): +91-9068270097

Email Address : vikasmath81@gmail.com

  • 1. Time-Table In charge
  • 2. Bursar of the College
  • 3. Convener NAAC Committee
  • 4. Convener Admission Committee
  • 5. Convener Examination Committee

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

  • 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.   

  • 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.  

  •         Applied Mathematics and Computation (Elsevier).  
  •         Ain Shams Engineering Journal (Elsevier)  
  •         International Journal of Nonlinear Science 
  •        Wave in Random and Complex Media (Taylor & Francis) 
  •         Journal of Mathematical Chemistry (Springer) 
  •         Applied Numerical Mathematics (Elsevier) 
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