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

被引：6

作者：

Nabi, Harivan R. ^{[1
]}

Ismael, Hajar F. ^{[2
]}

Shah, Nehad Ali ^{[3
]}

Weera, Wajaree ^{[4
]}

机构：

[1] Duhok Polytech Univ, Tech Coll Engn, Dept Highway & Bridges Engn, Duhok 42001, Iraq

[2] Univ Zakho, Fac Sci, Dept Math, Zakho 42002, Iraq

[3] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

[4] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 02期

关键词：

W-shaped; modified ZK equation; exact solutions; analytical methods; NONLINEAR SCHRODINGER-EQUATION; EXPANSION;

D O I：

10.3934/math.2023222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is presented to investigate the exact solutions to the modified ZakharovKuznetsov equation that have a critical role to play in mathematical physics. The tan (phi (zeta) /2)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.

引用

页码：4467 / 4486

页数：20

共 50 条

[1] Nonlinear ion-acoustic waves in a magnetized plasma and the Zakharov-Kuznetsov equation
Shivamoggi, Bhimsen K., 1600, (41 pt 1):
[2] Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma
Seadavvy, Aly R.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (01) : 201 - 212
[3] A KINETIC DERIVATION OF A GENERALIZED ZAKHAROV-KUZNETSOV EQUATION FOR ION-ACOUSTIC TURBULENCE IN A MAGNETIZED PLASMA
HAMZA, AM
PHYSICS LETTERS A, 1994, 190 (3-4) : 309 - 316
[4] Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
Seadawy, A. R.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (01) : 172 - 180
[5] A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform
Sartanpara, Parthkumar P.
Meher, Ramakanta
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2023, 8 (01) : 79 - 90
[6] Numerical solution of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves
Prakash, Amit
Verma, Vijay
PRAMANA-JOURNAL OF PHYSICS, 2019, 93 (04):
[7] On exponential decay properties of solutions of the (3+1)-dimensional modified Zakharov-Kuznetsov equation
Chong, Gezi
He, Jianxia
ELECTRONIC RESEARCH ARCHIVE, 2025, 33 (01): : 447 - 470
[8] Symmetry reductions of the (3+1)-dimensional modified Zakharov-Kuznetsov equation
Liu, Yamin
Teng, Qingyong
Tai, Weipeng
Zhou, Jianping
Wang, Zhen
ADVANCES IN DIFFERENCE EQUATIONS, 2019,
[9] NONLINEAR ION-ACOUSTIC-WAVES IN A MAGNETIZED PLASMA AND THE ZAKHAROV KUZNETSOV EQUATION
SHIVAMOGGI, BK
JOURNAL OF PLASMA PHYSICS, 1989, 41 : 83 - 88
[10] New interaction solutions of (3+1)-dimensional Zakharov-Kuznetsov equation
Lu, D. Z.
Cui, Y. Y.
Lu, C.
Huang, S. Y.
INDIAN JOURNAL OF PHYSICS, 2013, 87 (09) : 897 - 901

← 1 2 3 4 5 →