On a matrix constrained CKP hierarchy
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914085905367040 |
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| author | Li, Song Tian, Kelei Wu, Zhiwei |
| author_facet | Li, Song Tian, Kelei Wu, Zhiwei |
| contents | The algebraic structures of integrable hierarchies play an important role in the study of soliton equations. In this paper, we use splitting theory to give a matrix representation of a constrained CKP hierarchy, which can be considered as a generalization of the $\hat{A}_{2n}^{(2)}$-KdV hierarchy and the constrained KP hierarchy. An equivalent construction in terms of the pseudo-differential operator is discussed. Darboux transformations, scaling transformation and tau functions $\ln τ_f$ for this constrained hierarchy are studied. Moreover, we present formulas for the Virasoro vector fields on $\ln τ_f$ for the $\hat{A}_{2 n}^{(2)}$-KdV hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a matrix constrained CKP hierarchy Li, Song Tian, Kelei Wu, Zhiwei Exactly Solvable and Integrable Systems Mathematical Physics The algebraic structures of integrable hierarchies play an important role in the study of soliton equations. In this paper, we use splitting theory to give a matrix representation of a constrained CKP hierarchy, which can be considered as a generalization of the $\hat{A}_{2n}^{(2)}$-KdV hierarchy and the constrained KP hierarchy. An equivalent construction in terms of the pseudo-differential operator is discussed. Darboux transformations, scaling transformation and tau functions $\ln τ_f$ for this constrained hierarchy are studied. Moreover, we present formulas for the Virasoro vector fields on $\ln τ_f$ for the $\hat{A}_{2 n}^{(2)}$-KdV hierarchy. |
| title | On a matrix constrained CKP hierarchy |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2510.09054 |