Constructions of Totally Non-Negative Pfaffian
Exactly Solvable and Integrable Systems
2026-01-13 v1
Abstract
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 -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.
Cite
@article{arxiv.2601.06892,
title = {Constructions of Totally Non-Negative Pfaffian},
author = {Jen-Hsu Chang},
journal= {arXiv preprint arXiv:2601.06892},
year = {2026}
}
Comments
19 pages, 6 figures