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

页码：6611 / 6624

页数：14

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