Solitary wave solution and conservation laws of higher dimensional Zakharov-Kuznetsov equation with nonlinear self-adjointness

被引：14
作者：
Ali, Muhammad Nasir [1 ]
Husnine, Syed Muhammad [1 ]
Ak, Turgut [2 ]
Atangana, Abdon [3 ]
机构：
[1] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Fast Lahore Campus, Lahore, Pakistan
[2] Armutlu Vocat Sch, TR-77500 Armutlu, Yalova, Turkey
[3] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9301 Bloemfontein, South Africa
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期
关键词：
conservation laws; self-adjointness; solitary wave; symmetry; Zakharov-Kuznetsov equation; PARTIAL-DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; DIRECT CONSTRUCTION; QUANTITIES;
D O I：
10.1002/mma.5180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we conside-dimensional Zakharov-Kuznetsov (ZK) equation for nonlinear self-adjointness and symmetries. It is proved that the equation is nonlinearly self-adjoint and its symmetries are computed. The conservation laws are obtained by using new general conservation theorem of Ibragimov for -dimension and particularly for (1+3)-dimensional ZK equation. Multiplier method is also used to find more conservation laws for (1+3)-dimensional ZK equation and symmetry reduction technique is used to calculate the solitary wave solution.
引用
收藏
页码：6611 / 6624
页数：14
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