{"id":3008,"date":"2026-04-09T22:55:50","date_gmt":"2026-04-09T14:55:50","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=3008"},"modified":"2026-06-08T20:26:12","modified_gmt":"2026-06-08T12:26:12","slug":"on-optical-solutions-to-the-kadomtsev-petviashviliequation-with-a-local-conformable-derivativeitle","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=on-optical-solutions-to-the-kadomtsev-petviashviliequation-with-a-local-conformable-derivativeitle","title":{"rendered":"On optical solutions to the Kadomtsev\u2013Petviashviliequation with a local Conformable derivativeitle"},"content":{"rendered":"\n
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<\/i> 2024<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 27, Issue 1<\/a><\/p>\n<\/div>\n\n\n\n

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Biao Xu1<\/sup>, Jiangli Wang2<\/sup><\/i><\/a>, and Fang Yuanlu3<\/sup><\/i><\/a><\/p>\n\n\n\n

1<\/sup>Shijiazhuang University of Applied Technology, Shijiazhuang 050081, China<\/p>\n\n\n\n

2<\/sup>Qinhuangdao Open University, Qinhuangdao 066000, China<\/p>\n\n\n\n

3<\/sup>Tianjin Vocational College of Bioengineering, Basic teaching department, Tianjin Kaifaquxiqu 300462, China<\/p>\n<\/div>\n\n\n\n

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Received:\u00a0September 21, 2022
Accepted:\u00a0February 21, 2023
Publication Date:\u00a0April 9, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

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

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202401_27(1).0011<\/a>\u00a0\u00a0<\/p>\n\n\n\n

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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\u2013Petviashvili 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.<\/p>\n\n\n\n

Keywords:\u00a0Conformable potential Kadomtsev\u2013Petviashvili equation; new extended direct algebraic method; exact wave solutions<\/em><\/p>\n\n\n\n

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