Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions
Through the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/6185391 |
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| _version_ | 1832554042552745984 |
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| author | Na Xiong Wen-Tao Li Biao Li |
| author_facet | Na Xiong Wen-Tao Li Biao Li |
| author_sort | Na Xiong |
| collection | DOAJ |
| description | Through the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. Furthermore, we verify the accuracy of the trajectory equation by numerical analysis. This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations. |
| format | Article |
| id | doaj-art-ca3816a478e64f339bcca34e43757aab |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ca3816a478e64f339bcca34e43757aab2025-02-03T05:52:32ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/61853916185391Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational SolutionsNa Xiong0Wen-Tao Li1Biao Li2College of Science and Technology, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaThrough the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. Furthermore, we verify the accuracy of the trajectory equation by numerical analysis. This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.http://dx.doi.org/10.1155/2020/6185391 |
| spellingShingle | Na Xiong Wen-Tao Li Biao Li Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions Advances in Mathematical Physics |
| title | Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions |
| title_full | Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions |
| title_fullStr | Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions |
| title_full_unstemmed | Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions |
| title_short | Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions |
| title_sort | weakly coupled b type kadomtsev petviashvili equation lump and rational solutions |
| url | http://dx.doi.org/10.1155/2020/6185391 |
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