Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908339851493376 |
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| author | Li, Shi-Hao Tsujimoto, Satoshi Watanabe, Ryoto Yu, Guo-Fu |
| author_facet | Li, Shi-Hao Tsujimoto, Satoshi Watanabe, Ryoto Yu, Guo-Fu |
| contents | This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out that the normalization factor of Cauchy-Jacobi orthogonal polynomials acts as the $τ$-function of the discrete CKP equation, which has applications in Yang-Baxter equation, integrable geometry, cluster algebra, and so on. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation Li, Shi-Hao Tsujimoto, Satoshi Watanabe, Ryoto Yu, Guo-Fu Mathematical Physics Exactly Solvable and Integrable Systems This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out that the normalization factor of Cauchy-Jacobi orthogonal polynomials acts as the $τ$-function of the discrete CKP equation, which has applications in Yang-Baxter equation, integrable geometry, cluster algebra, and so on. |
| title | Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2504.18891 |