The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916858666418176 |
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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 consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra $\mathfrak{sp}(6)$, and construct two integrable systems. Furthermore, we derive their Hamiltonian structures using the Tu scheme. Additionally, we construct an integrable hierarchy on the generalized Lie algebra $\mathfrak{Gsp}(6)$ and establish its Hamiltonian structure as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17278 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$ Bi, Yanhui Yuan, Bo Ruan, Yuqi Zhang, Tao Exactly Solvable and Integrable Systems Rings and Algebras 34A26 (Primary), 34C14, 17B10, 58A30 (Secondary) In this paper, we consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra $\mathfrak{sp}(6)$, and construct two integrable systems. Furthermore, we derive their Hamiltonian structures using the Tu scheme. Additionally, we construct an integrable hierarchy on the generalized Lie algebra $\mathfrak{Gsp}(6)$ and establish its Hamiltonian structure as well. |
| title | The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$ |
| topic | Exactly Solvable and Integrable Systems Rings and Algebras 34A26 (Primary), 34C14, 17B10, 58A30 (Secondary) |
| url | https://arxiv.org/abs/2507.17278 |