W-shaped soliton solutions to the modified Zakharov-Kuznetsov equation of ion-acoustic waves in (3+1)-dimensions arise in a magnetized plasma

Abstract

<abstract><p>This paper is presented to investigate the exact solutions to the modified Zakharov-Kuznetsov equation that have a critical role to play in mathematical physics. The $ \tan \left(\phi \left(\zeta \right)/2 \right) $-expansion, $ (m+G'(\zeta)/G(\zeta)) $-expansion and He exponential function methods are used to reveal various analytical solutions of the model. The equation regulates the treatment of weakly nonlinear ion-acoustic waves in a plasma consisting of cold ions and hot isothermal electrons throughout the existence of a uniform magnetic field. Solutions in forms of W-shaped, singular, periodic-bright and bright are constructed.</p></abstract>

A novel approach for numerical treatment of traveling wave solution of ion acoustic waves as a fractional nonlinear evolution equation on Shehu transform environment

“…Any identified nonlinearity is encountered utilizing the ST and the ADM in a way that minimizes computation cost. Several approaches are discovered for solving ZKE in the field of physics such as; variational formulation by semi-inverse method [42], new solitary wave solution and their application [43], weakly nonlinear electron-acoustic waves spread via (3+1) dimensional generalised Korteweg-de-Vries-Zakharov-Kuznetsov equation [44] and analytical investigation of soliton solutions [45] and W-shaped soliton solutions arises in magnetized plasma [46] etc. The traveling waves have been seen in a variety of scientific domains, including combustion, which can result from a chemical interaction [47].…”