Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation
In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function. Meanwhile, the interaction solutions between lump and periodic waves are presented. What is more, we derive t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2815298 |
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| author | Chun-Rong Qin Jian-Guo Liu Wen-Hui Zhu Guo-Ping Ai M. Hafiz Uddin |
| author_facet | Chun-Rong Qin Jian-Guo Liu Wen-Hui Zhu Guo-Ping Ai M. Hafiz Uddin |
| author_sort | Chun-Rong Qin |
| collection | DOAJ |
| description | In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function. Meanwhile, the interaction solutions between lump and periodic waves are presented. What is more, we derive the interaction solutions among lump, periodic, and solitary waves. Based on the extended homoclinic test technique, some new double periodic-soliton solutions are presented. Finally, some 3D and density plots are simulated and displayed to respond the dynamic behavior of these obtained solutions. |
| format | Article |
| id | doaj-art-d926c06505ee420aae8ae3271f5395f0 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d926c06505ee420aae8ae3271f5395f02025-02-03T06:05:51ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2815298Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries EquationChun-Rong Qin0Jian-Guo Liu1Wen-Hui Zhu2Guo-Ping Ai3M. Hafiz Uddin4School of General Education and International StudiesCollege of ComputerInstitute of Artificial IntelligenceCollege of ComputerDepartment of MathematicsIn this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function. Meanwhile, the interaction solutions between lump and periodic waves are presented. What is more, we derive the interaction solutions among lump, periodic, and solitary waves. Based on the extended homoclinic test technique, some new double periodic-soliton solutions are presented. Finally, some 3D and density plots are simulated and displayed to respond the dynamic behavior of these obtained solutions.http://dx.doi.org/10.1155/2022/2815298 |
| spellingShingle | Chun-Rong Qin Jian-Guo Liu Wen-Hui Zhu Guo-Ping Ai M. Hafiz Uddin Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation Advances in Mathematical Physics |
| title | Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation |
| title_full | Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation |
| title_fullStr | Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation |
| title_full_unstemmed | Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation |
| title_short | Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation |
| title_sort | different wave structures for the 2 1 dimensional korteweg de vries equation |
| url | http://dx.doi.org/10.1155/2022/2815298 |
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