Rogue waves excitation on zero-background in the (2+1)-dimensional KdV equation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913357601177600 |
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| author | Zhang, Jie-Fang Jin, Mei-zhen Zhang, Meng-yang |
| author_facet | Zhang, Jie-Fang Jin, Mei-zhen Zhang, Meng-yang |
| contents | An analytical method for constructing various coherent localized solutions with short-lived characteristics is proposed based on a novel self-mapping transformation of the (2+1) dimensional KdV equation. The highlight of this method is that it allows one to generate a class of basic two--dimensional rogue waves excited on zero-background for this equation, which includes the line-soliton-induced rogue wave and dromion-induced rogue wave with exponentially decaying as well as the lump-induced rogue wave with algebraically decaying in the -plane. Our finding provides a proper candidate to describe two-dimensional rogue waves and paves a feasible path for studying rogue waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rogue waves excitation on zero-background in the (2+1)-dimensional KdV equation Zhang, Jie-Fang Jin, Mei-zhen Zhang, Meng-yang Pattern Formation and Solitons An analytical method for constructing various coherent localized solutions with short-lived characteristics is proposed based on a novel self-mapping transformation of the (2+1) dimensional KdV equation. The highlight of this method is that it allows one to generate a class of basic two--dimensional rogue waves excited on zero-background for this equation, which includes the line-soliton-induced rogue wave and dromion-induced rogue wave with exponentially decaying as well as the lump-induced rogue wave with algebraically decaying in the -plane. Our finding provides a proper candidate to describe two-dimensional rogue waves and paves a feasible path for studying rogue waves. |
| title | Rogue waves excitation on zero-background in the (2+1)-dimensional KdV equation |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2405.11228 |