Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation
Based on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form. It is found that the rational lump decays algebraically in all direction...
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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/10.1155/2021/5563309 |
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| _version_ | 1832560022179020800 |
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| author | Zhigang Yao Huayong Xie Hui Jie |
| author_facet | Zhigang Yao Huayong Xie Hui Jie |
| author_sort | Zhigang Yao |
| collection | DOAJ |
| description | Based on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form. It is found that the rational lump decays algebraically in all directions in the space plane and its amplitude possesses one maximum and two minima. One kind of the mixed solution describes the interaction between one lump and one line solitary wave, which exhibits fission and fusion phenomena under the different parameters. The other kind of the mixed solution shows one lump interacting with two paralleled line solitary waves, in which the evolution of the lump gives rise to a two-dimensional rogue wave. This shows that these three interesting phenomena exist in the corresponding physical model. |
| format | Article |
| id | doaj-art-23abab3923e04efb9cfc876a227a6ccc |
| 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-23abab3923e04efb9cfc876a227a6ccc2025-02-03T01:28:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55633095563309Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV EquationZhigang Yao0Huayong Xie1Hui Jie2Department of Electronic and Optic Engineering, Army Engineering University, Shijiazhuang 050003, ChinaFaculty of Preschool Teacher Education, Lishui University, Lishui 323000, ChinaDepartment of Electronic and Optic Engineering, Army Engineering University, Shijiazhuang 050003, ChinaBased on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form. It is found that the rational lump decays algebraically in all directions in the space plane and its amplitude possesses one maximum and two minima. One kind of the mixed solution describes the interaction between one lump and one line solitary wave, which exhibits fission and fusion phenomena under the different parameters. The other kind of the mixed solution shows one lump interacting with two paralleled line solitary waves, in which the evolution of the lump gives rise to a two-dimensional rogue wave. This shows that these three interesting phenomena exist in the corresponding physical model.http://dx.doi.org/10.1155/2021/5563309 |
| spellingShingle | Zhigang Yao Huayong Xie Hui Jie Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation Advances in Mathematical Physics |
| title | Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation |
| title_full | Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation |
| title_fullStr | Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation |
| title_full_unstemmed | Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation |
| title_short | Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation |
| title_sort | mixed rational lump solitary wave solutions to an extended 2 1 dimensional kdv equation |
| url | http://dx.doi.org/10.1155/2021/5563309 |
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