Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation S Kumar, D Kumar, A Kumar Chaos, Solitons & Fractals 142, 110507, 2021 | 131 | 2021 |
New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method S Kumar, A Kumar, AM Wazwaz The European Physical Journal Plus 135 (11), 1-17, 2020 | 128 | 2020 |
Lie symmetry analysis and generalized invariant solutions of (2+ 1)-dimensional dispersive long wave (DLW) equations S Kumar, A Kumar, H Kharbanda Physica Scripta 95 (6), 065207, 2020 | 111 | 2020 |
Lie symmetry reductions and group invariant solutions of (2+ 1)-dimensional modified Veronese web equation S Kumar, A Kumar Nonlinear Dynamics 98 (3), 1891-1903, 2019 | 104 | 2019 |
Lie symmetries, optimal system and group-invariant solutions of the (3+ 1)-dimensional generalized KP equation S Kumar, WX Ma, A Kumar Chinese Journal of Physics 69, 1-23, 2021 | 103 | 2021 |
Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painlevé analysis and multi-soliton solutions S Kumar, B Mohan, A Kumar Physica Scripta 97 (3), 035201, 2022 | 68 | 2022 |
A (2+ 1)-dimensional generalized Hirota–Satsuma–Ito equations: Lie symmetry analysis, invariant solutions and dynamics of soliton solutions S Kumar, KS Nisar, A Kumar Results in Physics 28, 104621, 2021 | 52 | 2021 |
Abundant exact closed-form solutions and solitonic structures for the double-chain deoxyribonucleic acid (DNA) model S Kumar, A Kumar, H Kharbanda Brazilian Journal of Physics 51 (4), 1043-1068, 2021 | 50 | 2021 |
Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+ 1)-dimensional rdDym equation using the Lie symmetry approach S Kumar, H Almusawa, A Kumar Results in Physics 24, 104201, 2021 | 47 | 2021 |
Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+ 1)-dimensional BLMP equation in mathematical physics S Kumar, A Kumar Journal of Ocean Engineering and Science 7 (2), 178-187, 2022 | 43 | 2022 |
Dynamic nature of analytical soliton solutions of the (1+ 1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach A Kumar, S Kumar International Journal of Mathematics and Computer in Engineering, 2023 | 38 | 2023 |
Dynamical structures of solitons and some new types of exact solutions for the (2+ 1)-dimensional DJKM equation using Lie symmetry analysis S Kumar, A Kumar Modern Physics Letters B 34 (supp01), 2150015, 2020 | 38 | 2020 |
Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+ 1)-dimensional burgers system in ocean physics and hydrodynamics S Kumar, A Kumar, B Mohan Journal of Ocean Engineering and Science 8 (1), 1-14, 2023 | 31 | 2023 |
Control of an autonomous industrial fire fighting mobile robot HP Singh, A Mahajan, N Sukavanam, V Budhraja, S Singh, A Kumar, ... DU Journal of Undergraduate Research and Innovation, 124-130, 2015 | 31 | 2015 |
Group invariant solutions of (2+ 1)-dimensional rdDym equation using optimal system of Lie subalgebra S Kumar, AM Wazwaz, D Kumar, A Kumar Physica Scripta 94 (11), 115202, 2019 | 27 | 2019 |
A study of Bogoyavlenskii’s (2+ 1)-dimensional breaking soliton equation: Lie symmetry, dynamical behaviors and closed-form solutions S Kumar, H Almusawa, SK Dhiman, MS Osman, A Kumar Results in Physics 29, 104793, 2021 | 25 | 2021 |
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes S Kumar, A Kumar Mathematics and Computers in Simulation 201, 254-274, 2022 | 23 | 2022 |
Newly generated optical wave solutions and dynamical behaviors of the highly nonlinear coupled Davey-Stewartson Fokas system in monomode optical fibers S Kumar, A Kumar Optical and Quantum Electronics 55 (6), 566, 2023 | 22 | 2023 |
Closed-form invariant solutions from the Lie symmetry analysis and dynamics of solitonic profiles for ()-dimensional modified Heisenberg ferromagnetic system A Kumar, S Kumar, H Kharbanda Modern Physics Letters B 36 (07), 2150609, 2022 | 19 | 2022 |
An investigation of (2+ 1)-dimensional asymmetric Nizhnik–Novikov–Veselov system: Lie symmetry reductions, invariant solutions, dynamical behaviors and conservation laws S Kumar, A Kumar, M Inc, H Alotaibi, MA Abdou, A Akguel Results in Physics 43, 106034, 2022 | 14 | 2022 |