| Autor: |
Sheng-Nan Wang, Shou-Feng Shen, Guo-Fu Yu |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100298- (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2022.100298 |
| Popis: |
We investigate rational and semi-rational solutions to the (2+1)-dimension Mel’nikov equation based on the Hirota bilinear method and the long wave limit approach. It is shown that the derived rational solutions display lump solitons in (x,y)-plane and line rogue waves in (x,t)-plane. As to the semi-rational solutions consisting of the hybrid of the soliton and rational solution, they exhibit the interaction between solitons and lumps in (x,y)-plane. While in (x,t)-plane the hybrid solutions demonstrate the interaction between line rogue waves and solitons. Dynamics of solutions are analysed with plots. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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