Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908874455384064 |
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| author | Shi, Changyan Chen, Xiyao Zhang, Guangxiong Wu, Chengfa Feng, Bao-Feng |
| author_facet | Shi, Changyan Chen, Xiyao Zhang, Guangxiong Wu, Chengfa Feng, Bao-Feng |
| contents | In this paper, we derive general bright-dark soliton solutions to the coupled Sasa-Satsuma (CSS) equation using the Kadomtsev-Petviashvili (KP) reduction method. Since the CSS equation is a special case of the four-component Hirota equation, our approach begins with the construction of two-bright-two-dark soliton solutions for the four-component Hirota equation. By imposing specific parameter constraints, these solutions are subsequently reduced to the bright-dark soliton solutions of the CSS equation. Finally, the dynamical behaviors of the one- and two-bright-dark soliton solutions are thoroughly analyzed and illustrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08686 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions Shi, Changyan Chen, Xiyao Zhang, Guangxiong Wu, Chengfa Feng, Bao-Feng Exactly Solvable and Integrable Systems Mathematical Physics In this paper, we derive general bright-dark soliton solutions to the coupled Sasa-Satsuma (CSS) equation using the Kadomtsev-Petviashvili (KP) reduction method. Since the CSS equation is a special case of the four-component Hirota equation, our approach begins with the construction of two-bright-two-dark soliton solutions for the four-component Hirota equation. By imposing specific parameter constraints, these solutions are subsequently reduced to the bright-dark soliton solutions of the CSS equation. Finally, the dynamical behaviors of the one- and two-bright-dark soliton solutions are thoroughly analyzed and illustrated. |
| title | Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2603.08686 |