Shubham Kumar Dhiman

Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations

Sachin Kumar, Shubham Kumar Dhiman, Dumitru Bǎleanu et al. · Symmetry · 2022 · 100 citations · Full text

Ocean Wave Mechanics, Engineering, Nonlinear Wave Propagation +11

Exploring cone-shaped solitons, breather, and lump-forms solutions using the lie symmetry method and unified approach to a coupled breaking soliton model

Sachin Kumar, Shubham Kumar Dhiman · Physica Scripta · 2024 · 80 citations · Full text

Coupled Breaking Soliton, Physics, Nonlinear Wave Propagation +11

Lie symmetry analysis, optimal system, exact solutions and dynamics of solitons of a ($$3+1$$)-dimensional generalised BKP–Boussinesq equation

Sachin Kumar, Shubham Kumar Dhiman · Pramana · 2022 · 56 citations

Topological Soliton, Exact Solutions, Backlund Transformation +4

Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified dispersive water wave system of equations

Sachin Kumar, Wen‐Xiu Ma, Shubham Kumar Dhiman et al. · The European Physical Journal Plus · 2023 · 50 citations

Numerical Analysis, Engineering, Invariant Solutions +7

Analyzing specific waves and various dynamics of multi-peakons in (3+1)-dimensional p-type equation using a newly created methodology

Shubham Kumar Dhiman, Sachin Kumar · Nonlinear Dynamics · 2024 · 46 citations

Numerical Analysis, Engineering, Physics +7