Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System
The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetr...
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| Main Authors: | , , , , |
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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/10.1155/2020/2370970 |
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| _version_ | 1832547054496251904 |
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| author | Wang Shen Zheng-Yi Ma Jin-Xi Fei Quan-Yong Zhu Jun-Chao Chen |
| author_facet | Wang Shen Zheng-Yi Ma Jin-Xi Fei Quan-Yong Zhu Jun-Chao Chen |
| author_sort | Wang Shen |
| collection | DOAJ |
| description | The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry-breaking soliton, breather, and lump solutions for this system are obtained through the derived Hirota bilinear form. By taking suitable constants in the involved ansatz functions, abundant fascinating symmetry-breaking structures of the related explicit solutions are shown. |
| format | Article |
| id | doaj-art-f935476823d64a23a541ef9b31cc3e04 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f935476823d64a23a541ef9b31cc3e042025-02-03T06:46:24ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/23709702370970Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono SystemWang Shen0Zheng-Yi Ma1Jin-Xi Fei2Quan-Yong Zhu3Jun-Chao Chen4Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, 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, ChinaThe Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an extended Bäcklund transformation, the symmetry-breaking soliton, breather, and lump solutions for this system are obtained through the derived Hirota bilinear form. By taking suitable constants in the involved ansatz functions, abundant fascinating symmetry-breaking structures of the related explicit solutions are shown.http://dx.doi.org/10.1155/2020/2370970 |
| spellingShingle | Wang Shen Zheng-Yi Ma Jin-Xi Fei Quan-Yong Zhu Jun-Chao Chen Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System Complexity |
| title | Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System |
| title_full | Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System |
| title_fullStr | Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System |
| title_full_unstemmed | Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System |
| title_short | Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System |
| title_sort | abundant symmetry breaking solutions of the nonlocal alice bob benjamin ono system |
| url | http://dx.doi.org/10.1155/2020/2370970 |
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