Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation
In this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two very interesting phenomena: one is that rogue...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/9959290 |
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| _version_ | 1832567871586172928 |
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| author | Chun Wang Rong Fan Zhao Zhang Biao Li |
| author_facet | Chun Wang Rong Fan Zhao Zhang Biao Li |
| author_sort | Chun Wang |
| collection | DOAJ |
| description | In this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two very interesting phenomena: one is that rogue waves sitting on a periodic line wave background are derived; the other is that a hybrid of rogue waves and a periodic kink wave is also constructed. We believe that these interesting findings exist in the optical system corresponding to the nonlocal Fokas-Lenells equation. |
| format | Article |
| id | doaj-art-7025f8e11e7c442ba929437c7b9f8efe |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7025f8e11e7c442ba929437c7b9f8efe2025-02-03T01:00:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/99592909959290Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells EquationChun Wang0Rong Fan1Zhao Zhang2Biao Li3School of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaIn this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two very interesting phenomena: one is that rogue waves sitting on a periodic line wave background are derived; the other is that a hybrid of rogue waves and a periodic kink wave is also constructed. We believe that these interesting findings exist in the optical system corresponding to the nonlocal Fokas-Lenells equation.http://dx.doi.org/10.1155/2021/9959290 |
| spellingShingle | Chun Wang Rong Fan Zhao Zhang Biao Li Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation Advances in Mathematical Physics |
| title | Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation |
| title_full | Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation |
| title_fullStr | Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation |
| title_full_unstemmed | Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation |
| title_short | Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation |
| title_sort | breather positons and rogue waves for the nonlocal fokas lenells equation |
| url | http://dx.doi.org/10.1155/2021/9959290 |
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