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

Author:

Nabi Harivan R.1,Ismael Hajar F.2,Shah Nehad Ali3,Weera Wajaree4

Affiliation:

1. Department of Highway and Bridges Engineering, Technical College of Engineering, Duhok Polytechnic University, Duhok 42001, Iraq

2. Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq

3. Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea

4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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