Soliton hierarchies associated with Lie algebra 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_ | 1866911031635214336 |
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| author | Bi, Yanhui Ruan, Yuqi Yuan, Bo Zhang, Tao |
| author_facet | Bi, Yanhui Ruan, Yuqi Yuan, Bo Zhang, Tao |
| contents | In this paper, by selecting appropriate spectral matrices within the loop algebra of symplectic Lie algebra sp(6), we construct two distinct classes of integrable soliton hierarchies. Then, by employing the Tu scheme and trace identity, we derive the Hamiltonian structures of the aforementioned two classes of integrable systems. From these two classes of integrable soliton hierarchies, we select one particular hierarchy and employ the Kronecker product to construct an integrable coupling system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00559 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Soliton hierarchies associated with Lie algebra sp(6) Bi, Yanhui Ruan, Yuqi Yuan, Bo Zhang, Tao Exactly Solvable and Integrable Systems Mathematical Physics Rings and Algebras Symplectic Geometry 34A26 (Primary), 34C14, 17B10, 58A30 (Secondary) In this paper, by selecting appropriate spectral matrices within the loop algebra of symplectic Lie algebra sp(6), we construct two distinct classes of integrable soliton hierarchies. Then, by employing the Tu scheme and trace identity, we derive the Hamiltonian structures of the aforementioned two classes of integrable systems. From these two classes of integrable soliton hierarchies, we select one particular hierarchy and employ the Kronecker product to construct an integrable coupling system. |
| title | Soliton hierarchies associated with Lie algebra sp(6) |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Rings and Algebras Symplectic Geometry 34A26 (Primary), 34C14, 17B10, 58A30 (Secondary) |
| url | https://arxiv.org/abs/2507.00559 |