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

Autor: Harivan R. Nabi, Hajar F. Ismael, Nehad Ali Shah, Wajaree Weera
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics. 8:4467-4486
ISSN: 2473-6988
DOI: 10.3934/math.2023222
Popis: 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.
Databáze: OpenAIRE