The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
The (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper, we first present the bilinear form for this...
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2025-01-01
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| author | Li-Jun Xu Zheng-Yi Ma Jin-Xi Fei Hui-Ling Wu Li Cheng |
| author_facet | Li-Jun Xu Zheng-Yi Ma Jin-Xi Fei Hui-Ling Wu Li Cheng |
| author_sort | Li-Jun Xu |
| collection | DOAJ |
| description | The (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper, we first present the bilinear form for this equation after constructing one Bäcklund transformation. As a result, the one-soliton solution, two-soliton solution, and three-soliton solution are shown successively and the corresponding soliton structures are constructed. These solitons and their interactions illustrate that the obtained solutions have powerful applications. |
| format | Article |
| id | doaj-art-b8bb50dde6d14f95b53c862ac1e6c9c0 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-b8bb50dde6d14f95b53c862ac1e6c9c02025-01-24T13:39:50ZengMDPI AGMathematics2227-73902025-01-0113223610.3390/math13020236The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada EquationLi-Jun Xu0Zheng-Yi Ma1Jin-Xi Fei2Hui-Ling Wu3Li Cheng4Department of Mathematics, Lishui University, Lishui 323000, ChinaDepartment of Mathematics, Lishui University, Lishui 323000, ChinaDepartment of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaDepartment of Mathematics, Lishui University, Lishui 323000, ChinaDepartment of Mathematics, Lishui University, Lishui 323000, ChinaThe (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper, we first present the bilinear form for this equation after constructing one Bäcklund transformation. As a result, the one-soliton solution, two-soliton solution, and three-soliton solution are shown successively and the corresponding soliton structures are constructed. These solitons and their interactions illustrate that the obtained solutions have powerful applications.https://www.mdpi.com/2227-7390/13/2/236(2+1)-dimensional integrable equationBäcklund transformationmolecular solitoninteractionbreather |
| spellingShingle | Li-Jun Xu Zheng-Yi Ma Jin-Xi Fei Hui-Ling Wu Li Cheng The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation Mathematics (2+1)-dimensional integrable equation Bäcklund transformation molecular soliton interaction breather |
| title | The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation |
| title_full | The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation |
| title_fullStr | The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation |
| title_full_unstemmed | The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation |
| title_short | The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation |
| title_sort | multi soliton solutions for the 2 1 dimensional caudrey dodd gibbon kotera sawada equation |
| topic | (2+1)-dimensional integrable equation Bäcklund transformation molecular soliton interaction breather |
| url | https://www.mdpi.com/2227-7390/13/2/236 |
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