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

[1] On the nonlinear self-adjointness of the Zakharov-Kuznetsov equation
Tracina, Rita
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (02) : 377 - 382
[2] Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
Du, Xia-Xia
Tian, Bo
Qu, Qi-Xing
Yuan, Yu-Qiang
Zhao, Xue-Hui
CHAOS SOLITONS & FRACTALS, 2020, 134
[3] Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)-dimensional Zakharov-Kuznetsov-Burgers equation
Wang, Gangwei
Fakhar, K.
COMPUTERS & FLUIDS, 2015, 119 : 143 - 148
[4] Nonlinear self-adjointness and conservation laws
Ibragimov, N. H.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (43)
[5] Conservation Laws for a (3+1)-dimensional Extended Zakharov-Kuznetsov Equation
Magalakwe, Gabriel
Khalique, Chaudry Masood
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
[6] Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
Moleleki, L. D.
Muatjetjeja, B.
Adem, A. R.
NONLINEAR DYNAMICS, 2017, 87 (04) : 2187 - 2192
[7] Nonlinear self-adjointness and conservation laws for a generalized Fisher equation
Gandarias, M. L.
Bruzon, M. S.
Rosa, M.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) : 1600 - 1606
[8] Solitary wave solution of the Zakharov-Kuznetsov equation in plasmas with power law nonlinearity
Biswas, Anjan
Zerrad, Essaid
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3272 - 3274
[9] Conservation Laws and Exact Solutions of a Generalized Zakharov-Kuznetsov Equation
Mothibi, Dimpho Millicent
Khalique, Chaudry Masood
SYMMETRY-BASEL, 2015, 7 (02): : 949 - 961
[10] Nonlinear self-adjointness and conservation laws of the (3+1)-dimensional Burgers equation
Abdulwahhab, Muhammad Alim
WAVE MOTION, 2015, 57 : 34 - 43

← 1 2 3 4 5 →