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Dr Vikas Kumar
Dr Vikas Kumar
Assistant Professor, Department of Mathematics, D.A.V. College Pundari, Kaithal, Haryana
Verified email at kuk.ac.in
Title
Cited by
Cited by
Year
Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients
RK Gupta, V Kumar, R Jiwari
Nonlinear Dynamics 79, 455-464, 2015
442015
Painlevé analysis, Lie symmetries and exact solutions for variable coefficients Benjamin—Bona—Mahony—Burger (BBMB) equation
V Kumar, RK Gupta, R Jiwari
Communications in Theoretical Physics 60 (2), 175, 2013
432013
Polynomial differential quadrature method for numerical solutions of the generalized Fitzhugh–Nagumo equation with time-dependent coefficients
R Jiwari, RK Gupta, V Kumar
Ain Shams Engineering Journal 5 (4), 1343-1350, 2014
412014
Lie group analysis, exact solutions and conservation laws to compressible isentropic Navier–Stokes equation
R Jiwari, V Kumar, S Singh
Engineering with Computers 38 (3), 2027-2036, 2022
392022
Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation
V Kumar, L Kaur, A Kumar, ME Koksal
Results in physics 8, 1136-1142, 2018
372018
Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method
R Jiwari, V Kumar, R Karan, AS Alshomrani
International Journal of Numerical Methods for Heat & Fluid Flow 27 (6 …, 2017
262017
Lie group analysis, numerical and non-traveling wave solutions for the (2+ 1)-dimensional diffusion–advection equation with variable coefficients
V Kumar, RK Gupta, R Jiwari
Chinese Physics B 23 (3), 30201-030201, 2014
252014
Numerical simulation of two dimensional quasilinear hyperbolic equations by polynomial differential quadrature method
V Kumar, R Jiwari, R Kumar Gupta
Engineering Computations 30 (7), 892-909, 2013
252013
Modified (G′/G)-expansion method for finding traveling wave solutions of the coupled Benjamin–Bona–Mahony-KdV equation
V Kumar
Journal of Ocean Engineering and Science 4 (3), 252-255, 2019
222019
Lie symmetry analysis for complex soliton solutions of coupled complex Short Pulse equation
V KUMAR
Mathematical Methods in Applied Sciences, 2020
212020
Comparative study of travelling-wave and numerical solutions for the coupled short pulse (CSP) equation
V Kumar, RK Gupta, R Jiwari
Chinese Physics B 22 (5), 050201, 2013
192013
Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV–Burgers equation
V Kumar, A Alqahtani
Nonlinear Dynamics 90, 2903-2915, 2017
182017
Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
A Alqahtani, V Kumar
Advances in Difference Equations 2019 (1), 493, 2019
132019
Lie symmetry analysis and soliton solutions for complex short pulse equation
V Kumar, AM Wazwaz
Waves in Random and Complex Media 32 (2), 968-979, 2022
122022
Optical solitons and modulation instability for Cubic–quartic Fokas–Lenells equation
V Kumar
Partial Differential Equations in Applied Mathematics 5, 100328, 2022
92022
Hyperbolic (2+ 1)-dimensional Schrödinger equation: Similarity analysis, Optimal system and complexitons for the one-parameter group of rotations
V Kumar, R Jiwari, AR Djurayevich, MU Khudoyberganov
Communications in Nonlinear Science and Numerical Simulation 115, 106784, 2022
72022
A composite algorithm for numerical solutions of two-dimensional coupled Burgers’ equations
V Kumar, S Singh, ME Koksal
Journal of Mathematics 2021, 1-13, 2021
72021
Hyperbolic (3+ 1)-dimensional nonlinear Schrödinger equation: Lie symmetry analysis and modulation instability
V Kumar, R Jiwari, AR Djurayevich, MU Khudoyberganov
Journal of Mathematics 2022, 2022
52022
Perturbed Fokas–Lenells equation: Lie symmetry analysis, complexitons and baseband modulation instability
P Verma, V Kumar, M Kumar, Poonam
International Journal of Modern Physics B 37 (02), 2350015, 2023
42023
Time–dependent coupled complex short pulse equation: Invariant analysis and complexitons
V Kumar, A Biswas, M Ekici, L Moraru, AK Alzahrani, MR Belic
Chaos, Solitons & Fractals 150, 111151, 2021
42021
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