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

共 50 条

[41] Nonlinear self-adjointness and conservation laws of the variable coefficient combined KdV equation with a forced term
Zhang, Lihua
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[42] Nonlinear self-adjointness and conservation laws for some equation systems of two-phase media
Fedorov, V. E.
ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV - MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS, 2019, 1268
[43] Solitary wave solutions of (3+1)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach
Kumar, Sachin
Kumar, Dharmendra
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (08) : 2096 - 2113
[44] Three-Dimensional Nonlinear Extended Zakharov-Kuznetsov Dynamical Equation in a Magnetized Dusty Plasma via Acoustic Solitary Wave Solutions
Aly R. Abdullah
Jun Seadawy
Brazilian Journal of Physics, 2019, 49 : 67 - 78
[45] Nonlinear self-adjointness and conservation laws of the variable coefficient combined KdV equation with a forced term
Lihua Zhang
Advances in Difference Equations, 2015
[46] Nonlinear self-adjointness and conservation laws of Klein-Gordon-Fock equation with central symmetry
Abdulwahhab, Muhammad Alim
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1331 - 1340
[47] New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation
Zhang, Ben-gong
Liu, Zheng-rong
Xiao, Qing
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 392 - 402
[48] Solitonic, super nonlinear, periodic, quasiperiodic, chaotic waves and conservation laws of modified Zakharov-Kuznetsov equation in transmission line
Jhangeer, Adil
Hussain, Amjad
Tahir, Sana
Sharif, Sumaira
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 86
[49] Three-Dimensional Nonlinear Extended Zakharov-Kuznetsov Dynamical Equation in a Magnetized Dusty Plasma via Acoustic Solitary Wave Solutions
Abdullah
Seadawy, Aly R.
Wang, Jun
BRAZILIAN JOURNAL OF PHYSICS, 2019, 49 (01) : 67 - 78
[50] The new exact solitary wave solutions and stability analysis for the (2+1)-dimensional Zakharov-Kuznetsov equation
Ghanbari, Behzad
Yusuf, Abdullahi
Inc, Mustafa
Baleanu, Dumitru
ADVANCES IN DIFFERENCE EQUATIONS, 2019,

← 1 2 3 4 5 →