Conservation Laws for a (3+1)-dimensional Extended Zakharov-Kuznetsov Equation

被引:3
|
作者
Magalakwe, Gabriel [1 ]
Khalique, Chaudry Masood [2 ]
机构
[1] North West Univ, Sch Math & Stat Sci, Potchefstroom Campus Private Bag X 2520, Potchefstroom, South Africa
[2] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus Private Bag X 2046, ZA-2735 Mmabatho, South Africa
关键词
D O I
10.1063/1.5114177
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present conservation laws for a (3 + 1)-dimensional extended Zakharov-Kuznetsov equation which describes an isothermal multicomponent magnetised plasma and can also be obtained by using the perturbation method in the propagation of dust.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
    Moleleki, L. D.
    Muatjetjeja, B.
    Adem, A. R.
    [J]. NONLINEAR DYNAMICS, 2017, 87 (04) : 2187 - 2192
  • [2] Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation
    Singh, Manjit
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 300 - 312
  • [3] Solutions and conservation laws of a (3+1)-dimensional Zakharov–Kuznetsov equation
    L. D. Moleleki
    B. Muatjetjeja
    A. R. Adem
    [J]. Nonlinear Dynamics, 2017, 87 : 2187 - 2192
  • [4] Propagation of electrostatic potential with dynamical behaviors and conservation laws of the (3+1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation
    Junaid-U-Rehman, Muhammad
    Almusawa, Hassan
    Awrejcewicz, Jan
    Kudra, Grzegorz
    Abbas, Naseem
    Rasool, Azhar
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (01)
  • [5] Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation
    Jiang, Yao-Lin
    Lu, Yi
    Chen, Cheng
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2016, 23 (02) : 157 - 166
  • [6] Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation
    Yao-Lin Jiang
    Yi Lu
    Cheng Chen
    [J]. Journal of Nonlinear Mathematical Physics, 2016, 23 : 157 - 166
  • [7] Symmetry reductions of the (3+1)-dimensional modified Zakharov-Kuznetsov equation
    Liu, Yamin
    Teng, Qingyong
    Tai, Weipeng
    Zhou, Jianping
    Wang, Zhen
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019,
  • [8] New interaction solutions of (3+1)-dimensional Zakharov-Kuznetsov equation
    Lu, D. Z.
    Cui, Y. Y.
    Lu, C.
    Huang, S. Y.
    [J]. INDIAN JOURNAL OF PHYSICS, 2013, 87 (09) : 897 - 901
  • [10] Symmetry reductions, exact equations and the conservation laws of the generalized (3+1) dimensional Zakharov-Kuznetsov equationl
    Zhang Li-Xiang
    Liu Han-Ze
    Xin Xiang-Peng
    [J]. ACTA PHYSICA SINICA, 2017, 66 (08)