In the present work, abundant group-invariant solutions of (2+ 1 2+ 1)-dimensional
Bogoyavlenskii–Schieff equation have been investigated using Lie symmetry analysis. The …

Abstract In our manuscript, the (2+ 1)-dimensional Zakharov-Kuznetsov modified equal
width (ZK-MEW) and couple breaking soliton (BS) equations are considered and …

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 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 work deals with highly nonlinear dispersive water equation named Boiti–Leon–
Pempinelli (BLP) system, which is a well known two dimensional generalization of sinh …

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 …

Z 2 and Z 3 transformations are proposed for the first time in this paper, combined with the
previously proposed Z 1 transformation, the general solutions of many kinds of n-ary m-order …

The nonlinear Schrödinger equation (NLSE) is a fundamental model in physics relevant to
fields such as nonlinear optics, Bose–Einstein condensates, and fiber optics. This study …