Journal of Applied Science and Engineering

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Bolun Ding1This email address is being protected from spambots. You need JavaScript enabled to view it., Xiaojun Xie2, and Tingting Ling1

1Department of Basic Sciences,Yangzhou Polytechnic Institute,Yangzhou 225000, Jiangsu, China

2Department of Fundamental Education,Guangzhou College of Technology and Business, Guangzhou 510000, Guangdong, China


Received: June 22, 2023
Accepted: November 12, 2023
Publication Date: January 10, 2024

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

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Finding traveling wave (TW) solutions for nonlinear equations has always been one of the most important concerns of researchers in various mathematics, physics, and engineering fields. In this paper, we employ a new extended direct algebraic (NEDA) technique to study the modified KdV-Zakharov-Kuznetsov (mKdV-ZK) equation. In the framework of this technique, various forms of analysis solutions for the equation are obtained, which have many applications in the field of electric and magnetic fields. The correctness of all the solutions introduced in this paper has been checked after their direct replacement in the equation. Moreover, numerical simulations corresponding to some of these analytical solutions are included in the paper.


Keywords: Travelling wave solution, The modified KdV-Zakharov-Kuznetsov equation; New extended direct algebraic method; Analytical solutions; Numerical simulations

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