Lie symmetries, closed-form solutions, and various dynamical profiles of solitons for the variable coefficient (2+ 1)-dimensional KP equations S Kumar, SK Dhiman, D Baleanu, MS Osman, AM Wazwaz Symmetry 14 (3), 597, 2022 | 73 | 2022 |
Lie symmetry analysis, optimal system, exact solutions and dynamics of solitons of a ()-dimensional generalised BKP–Boussinesq equation S Kumar, SK Dhiman Pramana 96 (1), 31, 2022 | 55 | 2022 |
Symmetry reductions, generalized solutions and dynamics of wave profiles for the (2+ 1)-dimensional system of Broer–Kaup–Kupershmidt (BKK) equations S Kumar, SK Dhiman, A Chauhan Mathematics and Computers in Simulation 196, 319-335, 2022 | 27 | 2022 |
An extended (3+ 1)-dimensional Jimbo–Miwa equation: Symmetry reductions, invariant solutions and dynamics of different solitary waves SK Dhiman, S Kumar, H Kharbanda Modern Physics Letters B 35 (34), 2150528, 2021 | 26 | 2021 |
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 |
Different dynamics of invariant solutions to a generalized (3+ 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation arising in shallow water-waves SK Dhiman, S Kumar Journal of Ocean Engineering and Science, 2022 | 24 | 2022 |
Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified dispersive … S Kumar, WX Ma, SK Dhiman, A Chauhan The European Physical Journal Plus 138 (5), 434, 2023 | 22 | 2023 |
Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics S Kumar, M Niwas, SK Dhiman Journal of Ocean Engineering and Science 7 (6), 565-577, 2022 | 18 | 2022 |
Exploring cone-shaped solitons, breather, and lump-forms solutions using the lie symmetry method and unified approach to a coupled breaking soliton model S Kumar, SK Dhiman Physica Scripta 99 (2), 025243, 2024 | 14 | 2024 |
Analysis of Lie invariance, analytical solutions, conservation laws, and a variety of wave profiles for the (2+ 1)-dimensional Riemann wave model arising from ocean tsunamis … S Kumar, SK Dhiman, A Chauhan The European Physical Journal Plus 138 (7), 1-22, 2023 | 8 | 2023 |
An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+ 1)-dimensional Davey–Stewartson system of … SK Dhiman, S Kumar The European Physical Journal Plus 138 (3), 1-16, 2023 | 8 | 2023 |
Newly constructed closed-form soliton solutions, conservation laws and modulation instability for a (2+ 1)-dimensional cubic nonlinear Schrödinger’s equation using optimal … S Rani, SK Dhiman, S Kumar Optical and Quantum Electronics 56 (4), 532, 2024 | 6 | 2024 |
Dynamical forms of various optical soliton solutions and other solitons for the new Schrödinger equation in optical fibers using two distinct efficient approaches M Niwas, SK Dhiman, S Kumar Modern Physics Letters B 38 (13), 2450087, 2024 | 3 | 2024 |
Analyzing specific waves and various dynamics of multi-peakons in (3+ 1)-dimensional p-type equation using a newly created methodology SK Dhiman, S Kumar Nonlinear Dynamics, 1-14, 2024 | 3 | 2024 |