{"id":3284,"date":"2026-04-10T13:30:37","date_gmt":"2026-04-10T05:30:37","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=3284"},"modified":"2026-06-14T16:20:57","modified_gmt":"2026-06-14T08:20:57","slug":"new-explicit-solutions-for-zakharov-kuznetsov-benjamin-bona-mahony-equation","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=new-explicit-solutions-for-zakharov-kuznetsov-benjamin-bona-mahony-equation","title":{"rendered":"New explicit solutions for Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation"},"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 6<\/a><\/p>\n<\/div>\n\n\n\n

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Yue Ren<\/i><\/a><\/p>\n\n\n\n

College of General Education, Heilongjiang Polytechnic, harbin, Heilongjiang, 150000, China<\/p>\n<\/div>\n\n\n\n

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Received:\u00a0March 11, 2023
Accepted:\u00a0August 4, 2023
Publication Date:\u00a0April 10, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

Three-dimensional plot<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/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.202406_27(6).0015<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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In this paper, we propose two techniques for constructing new explicit exact (EE) solutions of the the ZK-BBM equation. we utilize either the modified Kudryashov technique and a new Kudryashov technique in conjunction with symbolic computation to achieve this goal. In addition, 3D and 2D plots were generated to illustrate the features of the obtained solutions. This was achieved by meticulously choosing appropriate values for the relevant parameters. The results determine that these techniques are a mighty math instrument to solve nonlinear partial differential equations (NLPDEs) in terms of efficiency, validity and accuracy.<\/p>\n\n\n\n

Keywords:\u00a0ZK-BBM equation, new Kudryashov technique; modified Kudryashov technique; explicit exact solutions<\/em><\/p>\n\n\n\n

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