Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System
The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed via the parity with a shift of the space variable x and...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6423205 |
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| author | Hong-Yu Wu Jin-Xi Fei Zheng-Yi Ma Jun-Chao Chen Wen-Xiu Ma |
| author_facet | Hong-Yu Wu Jin-Xi Fei Zheng-Yi Ma Jun-Chao Chen Wen-Xiu Ma |
| author_sort | Hong-Yu Wu |
| collection | DOAJ |
| description | The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed via the parity with a shift of the space variable x and time reversal with a delay. By introducing an extended Bäcklund transformation, symmetry breaking soliton, symmetry breaking breather, and symmetry breaking lump solutions for this system are presented through the established Hirota bilinear form. According to the corresponding constants in the involved ansatz function, a few fascinating symmetry breaking structures of the presented explicit solutions are shown. |
| format | Article |
| id | doaj-art-08629ac5a2464548a7e0b2c64b070c50 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-08629ac5a2464548a7e0b2c64b070c502025-02-03T06:05:16ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/64232056423205Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili SystemHong-Yu Wu0Jin-Xi Fei1Zheng-Yi Ma2Jun-Chao Chen3Wen-Xiu Ma4Department of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaDepartment of Photoelectric Engineering, Lishui University, Lishui 323000, ChinaInstitute of Nonlinear Analysis and Department of Mathematics, Lishui University, Lishui 323000, ChinaInstitute of Nonlinear Analysis and Department of Mathematics, Lishui University, Lishui 323000, ChinaDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USAThe Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed via the parity with a shift of the space variable x and time reversal with a delay. By introducing an extended Bäcklund transformation, symmetry breaking soliton, symmetry breaking breather, and symmetry breaking lump solutions for this system are presented through the established Hirota bilinear form. According to the corresponding constants in the involved ansatz function, a few fascinating symmetry breaking structures of the presented explicit solutions are shown.http://dx.doi.org/10.1155/2020/6423205 |
| spellingShingle | Hong-Yu Wu Jin-Xi Fei Zheng-Yi Ma Jun-Chao Chen Wen-Xiu Ma Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System Complexity |
| title | Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System |
| title_full | Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System |
| title_fullStr | Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System |
| title_full_unstemmed | Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System |
| title_short | Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System |
| title_sort | symmetry breaking soliton breather and lump solutions of a nonlocal kadomtsev petviashvili system |
| url | http://dx.doi.org/10.1155/2020/6423205 |
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