The tau functions of the constrained CKP hierarchy

Fuente: arXiv
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Autori principali: Chen, Danqi, Cheng, Jipeng, Wang, Shen
Natura: Preprint
Pubblicazione: 2026
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author Chen, Danqi
Cheng, Jipeng
Wang, Shen
author_facet Chen, Danqi
Cheng, Jipeng
Wang, Shen
contents The CKP hierarchy is one important sub-hierarchy of the KP hierarchy, which is quite special due to its tau function. Here we construct the tau functions for the constrained CKP hierarchy $(L^k)_{<0}=\sum_{i=1}^{m}\big(q_{1,i}\partial^{-1}q_{2,i}-(-1)^kq_{2,i}\partial^{-1}q_{1,i}\big)$ with $k$ being odd or even positive integer by using the CKP Darboux transformations.
format Preprint
id arxiv_https___arxiv_org_abs_2605_17794
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The tau functions of the constrained CKP hierarchy
Chen, Danqi
Cheng, Jipeng
Wang, Shen
Exactly Solvable and Integrable Systems
35Q53, 37K10, 35Q51
The CKP hierarchy is one important sub-hierarchy of the KP hierarchy, which is quite special due to its tau function. Here we construct the tau functions for the constrained CKP hierarchy $(L^k)_{<0}=\sum_{i=1}^{m}\big(q_{1,i}\partial^{-1}q_{2,i}-(-1)^kq_{2,i}\partial^{-1}q_{1,i}\big)$ with $k$ being odd or even positive integer by using the CKP Darboux transformations.
title The tau functions of the constrained CKP hierarchy
topic Exactly Solvable and Integrable Systems
35Q53, 37K10, 35Q51
url https://arxiv.org/abs/2605.17794