@article{Nabi2023, 
author = {Harivan R. Nabi and Hajar F. Ismael and Nehad Ali Shah and Wajaree Weera},
title = {W-shaped soliton solutions to the modified Zakharov-Kuznetsov equation of ion-acoustic waves in (3+1)-dimensions arise in a magnetized plasma},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {4467-4486},
keywords = {analytical methods, exact solutions, W-shaped, modified ZK equation},
url = {https://www.sciopen.com/article/10.3934/math.2023222},
doi = {10.3934/math.2023222},
abstract = {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  ⁡      (          ϕ              (        ζ        )                    /            2        )  -expansion,    (  m  +      G    ′    (  ζ  )      /    G  (  ζ  )  )-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.}
}