An analytical Technique for Solving New Computational Solutions of the Modified Zakharov-Kuznetsov Equation Arising in Electrical Engineering

被引：28

作者：

Islam, Shariful ^{[1
]}

Alam, Md Nur ^{[1
]}

Fayz-Al-Asad, Md ^{[2
]}

Tunc, Cemil ^{[3
]}

机构：

[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh

[2] Dhaka Int Univ, Dept Civil Engn, Dhaka 1212, Bangladesh

[3] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2021年 / 7卷 / 02期

关键词：

The modified (G'/G)-expansion method; Nonlinear partial differential equations; Modified Zakharov-Kuznetsov equation; Computational solutions; TRAVELING-WAVE SOLUTIONS; STABILITY;

D O I：

10.22055/JACM.2020.35571.2687

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The modified (G'/G)-expansion method is an efficient method that has appeared in recent times for solving new computational solutions of nonlinear partial differential equations (NPDEs) arising in electrical engineering. This research has applied this process to seek novel computational results of the developed Zakharov-Kuznetsov (ZK) equation in electrical engineering. With 3D and contour graphical illustration, mathematical results explicitly exhibit the proposed algorithm's complete honesty and high performance.

引用

页码：715 / 726

页数：12

共 50 条

[31] Solutions of generalized fractional perturbed Zakharov-Kuznetsov equation arising in a magnetized dusty plasma
Akinyemi, L.
REVISTA MEXICANA DE FISICA, 2021, 67 (06)
[32] Lump interactions and collapse in the modified Zakharov-Kuznetsov equation
Sipcic, R
Benney, DJ
STUDIES IN APPLIED MATHEMATICS, 2000, 105 (04) : 385 - 403
[33] ON SPECIAL REGULARITY PROPERTIES OF SOLUTIONS OF THE ZAKHAROV-KUZNETSOV EQUATION
Linares, Felipe
Ponce, Gustavo
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (04) : 1561 - 1572
[34] Solitons and other solutions to the quantum Zakharov-Kuznetsov equation
Ghodrat Ebadi
Aida Mojaver
Daniela Milovic
Stephen Johnson
Anjan Biswas
Astrophysics and Space Science, 2012, 341 : 507 - 513
[35] Lie symmetry analysis and some exact solutions for modified Zakharov-Kuznetsov equation
Zhou, Xuan
Shan, Wenrui
Niu, Zhilei
Xiao, Pengcheng
Wang, Ying
MODERN PHYSICS LETTERS B, 2018, 32 (31):
[36] Exact traveling wave solutions and bifurcations of a further modified Zakharov-Kuznetsov equation
Leta, Temesgen Desta
Li, Jibin
NONLINEAR DYNAMICS, 2016, 85 (04) : 2629 - 2634
[37] Exact travelling wave solutions for the Zakharov-Kuznetsov equation
Peng, Yan-Ze
APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) : 397 - 405
[38] New exact solutions to the Zakharov-Kuznetsov equation and its generalized form
Deng, Chaofa
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (04) : 857 - 868
[39] Discovering novel soliton solutions for (3 + 1)-modified fractional Zakharov-Kuznetsov equation in electrical engineering through an analytical approach (vol 55, 1149, 2023)
Alqhtani, Manal
Saad, Khaled M.
Shah, Rasool
Hamanah, Waleed M.
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
[40] Solitons and other solutions to the quantum Zakharov-Kuznetsov equation
Ebadi, Ghodrat
Mojaver, Aida
Milovic, Daniela
Johnson, Stephen
Biswas, Anjan
ASTROPHYSICS AND SPACE SCIENCE, 2012, 341 (02) : 507 - 513

← 1 2 3 4 5 →