Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System
Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are derived. These solutions describe the interactio...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/1420274 |
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| _version_ | 1832565378781282304 |
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| author | Yue-jun Deng Rui-yu Jia Ji Lin |
| author_facet | Yue-jun Deng Rui-yu Jia Ji Lin |
| author_sort | Yue-jun Deng |
| collection | DOAJ |
| description | Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are derived. These solutions describe the interaction phenomena of the lump-bright soliton with fission and fusion, the half-line rogue wave with a bright soliton, and a rogue wave excited from the bright soliton pair, respectively. Some special concrete interaction solutions are depicted in both analytical and graphical ways. |
| format | Article |
| id | doaj-art-4fa3cee6458c4368b7bac6b6bce1aca0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4fa3cee6458c4368b7bac6b6bce1aca02025-02-03T01:07:58ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/14202741420274Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov SystemYue-jun Deng0Rui-yu Jia1Ji Lin2Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaLump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are derived. These solutions describe the interaction phenomena of the lump-bright soliton with fission and fusion, the half-line rogue wave with a bright soliton, and a rogue wave excited from the bright soliton pair, respectively. Some special concrete interaction solutions are depicted in both analytical and graphical ways.http://dx.doi.org/10.1155/2019/1420274 |
| spellingShingle | Yue-jun Deng Rui-yu Jia Ji Lin Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System Complexity |
| title | Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System |
| title_full | Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System |
| title_fullStr | Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System |
| title_full_unstemmed | Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System |
| title_short | Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System |
| title_sort | lump and mixed rogue soliton solutions of the 2 1 dimensional mel nikov system |
| url | http://dx.doi.org/10.1155/2019/1420274 |
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