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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2512.24216 |
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| _version_ | 1866915700824604672 |
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| author | Noumi, Masatoshi Takebe, Takashi |
| author_facet | Noumi, Masatoshi Takebe, Takashi |
| contents | The operators in the Zakharov-Shabat equations of integrable hierarchies are usually defined from the Lax operators. In this article it is shown that the Zakharov-Shabat equations themselves recover the Lax operators under suitable change of independent variables in the case of the KP hierarchy and the modified KP hierarchy (in the matrix formulation). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | General Zakharov-Shabat equations without Lax operators Noumi, Masatoshi Takebe, Takashi Exactly Solvable and Integrable Systems 37K10 The operators in the Zakharov-Shabat equations of integrable hierarchies are usually defined from the Lax operators. In this article it is shown that the Zakharov-Shabat equations themselves recover the Lax operators under suitable change of independent variables in the case of the KP hierarchy and the modified KP hierarchy (in the matrix formulation). |
| title | General Zakharov-Shabat equations without Lax operators |
| topic | Exactly Solvable and Integrable Systems 37K10 |
| url | https://arxiv.org/abs/2512.24216 |