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Shubham Kumar Dhiman
Shubham Kumar Dhiman
Department of Mathematics, University of Delhi
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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
732022
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
552022
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
272022
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
262021
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
252021
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
242022
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
222023
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
182022
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
142024
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
82023
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
82023
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
62024
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
32024
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
32024
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