This paper systematically investigates the exact solutions to an extended (2+ 1)-dimensional
Boussinesq equation, which arises in several physical applications, including the …

In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …

The present research is devoted to carry out Lie group classification and optimal system of
one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional …

Solitary wave profiles of various forms can be found in many disciplines, including
oceanography, marine engineering, plasma physics, optical fibers, fluid dynamics, and …

Solitary waves are usually outcome of nonlinear and dispersive effects. The Date–Jimbo–
Kashiwara–Miwa equation is dispersive and highly nonlinear soliton equation. The Date …

This article investigates nonlinear behavior of ion acoustic waves in a plasma with
superthermal electrons and isothermal positrons. We consider the KdV–Burgers equation …

The present article intends to generate optimal system of one dimensional subalgebra and
group–invariant solutions of ZK–BBM equation with the aid of Lie group theory. The ZK …

In this paper, we introduced and established some group invariant results of (2+ 1)-
dimensional mKdV–Calogero–Bogoyavlenskii–Schiff equation. Using the one-parameter …

In this work, Lie symmetry method is employed to obtain invariant solutions of KP-BBM
equation. It represents propagation of bidirectional small amplitude waves in nonlinear …

This study deals with symmetry reductions and invariant solutions of (2+ 1)-dimensional
dissipative Zabolotskaya–Khokhlov equation. The equation governs the diffraction of sound …