Constructions of Totally Non-Negative Pfaffian
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917195035967488 |
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| author | Chang, Jen-Hsu |
| author_facet | Chang, Jen-Hsu |
| contents | The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative. It appears in the pfaffian structure of $τ$-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration.Its tridiagonal form is also investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06892 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constructions of Totally Non-Negative Pfaffian Chang, Jen-Hsu Exactly Solvable and Integrable Systems The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative. It appears in the pfaffian structure of $τ$-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration.Its tridiagonal form is also investigated. |
| title | Constructions of Totally Non-Negative Pfaffian |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2601.06892 |