In this study, the generalized Atangana's fractional BBM–Burgers equation (GBBM-B) with
the dissipative term is investigated by utilizing the modified sub-equation method and the …

The mixed localized wave solutions and their interaction have fascinated the vast age of
plasma physics, fluid mechanics, and ocean dynamics, thanks to advances in nonlinear …

In this work, we study the extended (2+ 1)-dimensional Boussinesq model, which describes
the propagation of waves with small amplitudes in shallow water propagating at a constant …

The Burgers hierarchy consists of nonlinear evolutionary PDEs with increasingly higher-
order dispersive and nonlinear terms, resulting in a rich variety of soliton solutions. Notable …

This article represented the investigation of the modified mixed Korteweg-de Vries equation
using di erent versatile approaches. First, the Lie point symmetry approach was used to …

In this paper, the Sakovich equation is extended for the first time to a new equation with
variable-coefficients on the time variable. The infinitesimal generators are obtained by …

In order to obtain the local structural solutions of nonlinear integrable systems, a (3+ 1)-
dimensional nonlinear integrable equation is studied by using the multi-linear variable …

Many generalizations have been considered on how to construct the exact solutions of one-
component Reaction-Diffusion (RD) equations. Two-component RD systems of equations …

Several physical phenomena are governed by mathematical models and can be structured
by the Reaction-Diffusion (RD) systems. RD systems are essential for the description of …