Lie symmetry reductions, exact solutions and soliton dynamics to Burgers equation

DV Tanwar - Nonlinear Dynamics, 2024 - Springer
This study deals with exact solutions and soliton dynamics of Burgers equation. The Lie
symmetry method under one parameter transformation is employed to establish symmetry …

A (2+ 1) modified KdV equation with time-dependent coefficients: exploring soliton solution via Darboux transformation and artificial neural network approach

HWA Riaz, A Farooq - Nonlinear Dynamics, 2024 - Springer
This paper explores the modified Korteweg-de Vries equation with a time-dependent
coefficient in (2+ 1) dimensions. We establish a robust theoretical framework by identifying …