Two new super integrable hierarchies and a generalized super-AKNS hierarchy
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917537022738432 |
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| author | Bi, Yanhui Yuan, Bo Ruan, Yuqi Zhang, Tao |
| author_facet | Bi, Yanhui Yuan, Bo Ruan, Yuqi Zhang, Tao |
| contents | In this paper, we investigate two non-isospectral problems on the loop algebra of the Lie superalgebra osp(1,6), and construct two super-integrable systems and their super Hamiltonian structure using the supertrace identity. The resulting super-integrable system can be reduced to the super-AKNS hierarchy under certain conditions. By reconsidering a new (2 + 1)-dimensional non-isospectral problem with spectral matrices satisfying these conditions, we obtain a (2 + 1)-dimensional generalization of the super-AKNS hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two new super integrable hierarchies and a generalized super-AKNS hierarchy Bi, Yanhui Yuan, Bo Ruan, Yuqi Zhang, Tao Exactly Solvable and Integrable Systems Rings and Algebras In this paper, we investigate two non-isospectral problems on the loop algebra of the Lie superalgebra osp(1,6), and construct two super-integrable systems and their super Hamiltonian structure using the supertrace identity. The resulting super-integrable system can be reduced to the super-AKNS hierarchy under certain conditions. By reconsidering a new (2 + 1)-dimensional non-isospectral problem with spectral matrices satisfying these conditions, we obtain a (2 + 1)-dimensional generalization of the super-AKNS hierarchy. |
| title | Two new super integrable hierarchies and a generalized super-AKNS hierarchy |
| topic | Exactly Solvable and Integrable Systems Rings and Algebras |
| url | https://arxiv.org/abs/2509.25995 |