Biao Xu^{1}, Jiangli Wang^{2}This email address is being protected from spambots. You need JavaScript enabled to view it., Fang Yuanlu^{3}This email address is being protected from spambots. You need JavaScript enabled to view it.

^{1}Shijiazhuang University of Applied Technology, Shijiazhuang 050081, China ^{2}Qinhuangdao Open University, Qinhuangdao 066000, China ^{3}Tianjin Vocational College of Bioengineering, Basic teaching department, Tianjin Kaifaquxiqu 300462, China

Received:
September 21, 2022

Accepted:
February 21, 2023

Publication Date:
June 14, 2023

* ***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.

Download Citation: ||https://doi.org/10.6180/jase.202401_27(1).0011

In fact, due to the existence of this category of equations, our understanding of many phenomena around us becomes more complete. In this paper, we study an integrable partial differential equation called the Kadomtsev–Petviashvili equation with a local conformable derivative. This equation is used to describe nonlinear motion. In order to solve the equation, it is first necessary to convert the form of the equation from a

partial derivative to an equation with ordinary derivatives using a suitable variable change. The resulting form will then be the basis of our work to determine the main solutions. All the solutions reported in the paper for the present equation are quite different from the previous findings in other papers. All necessary calculations are provided using symbolic computing software in Maple.

Keywords:
Conformable potential Kadomtsev–Petviashvili equation; new extended direct algebraic method; exact wave solutions

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