The Boussinesq equation simulates weakly nonlinear and long wave approximation that can
be used in water waves, coastal engineering, and numerical models for water wave …

The purpose of this article is to achieve new soliton solutions of the Gilson–Pickering
equation (GPE) with the assistance of Sardar's subequation method (SSM) and Jacobi …

Abstract The (3+ 1)-dimensional Zakharov–Kuznetsov (ZK) and the new extended quantum
ZK equations are functional to decipher the dense quantum plasma, ion-acoustic waves …

Stable soliton solutions for the nonlinear Klein–Gordon equation in condensed matter
physics, particle physics, nonlinear optics, solid state physics and the gas dynamics …

Abstract The Zakharov-Kuznetsov Benjamin-Bona-Mahony equation and its generalized
form, considered in this study are two notable models for describing the magneto-acoustic …

In this paper, we explore the characteristics of lump and interaction solutions for a (1+ 1)
dimensional Boussinesq equation. By employing the Hirota bilinear method, we derive and …

This article investigates the exact soliton solutions to the mKdV equation with time-
dependent coefficients using the adapted sine-Gordon and modified simple equation …

We investigate the messenger role of calcium ions implicated in the regulation of wave-like
bending dynamics of flagella. The emphasis is on microtubules of flagellar axoneme serving …