Song Li, Kelei Tian, Ying Xu, Ge Yi, “On the constrained <nobr>$q$</nobr>-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure”, TMF, 2024, Volume 219, Number 2,Pages <nobr>287

On the constrained $q$-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure

Song Li^a, Kelei Tian^b, Ying Xu^b, Ge Yi^b

^a School of Mathematics, Sun Yat-sen University, Zhuhai, Guangdong, China
^b School of Mathematics (Zhuhai), Hefei University of Technology, Hefei, Anhui, China

Abstract: We construct the additional symmetry of the constrained $q$-mKP hierarchy. The new modified operator is introduced. The flows and additional flows acting on the modified operator are given. The additional flows acting on the eigenfunction and the adjoint eigenfunction are presented. The hidden Virasoro algebraic structure in the additional symmetry of the constrained $q$-mKP hierarchy is given.

Keywords: constrained $q$-mKP hierarchy, additional symmetry, Virasoro algebra.

Received: 30.10.2023
Revised: 30.10.2023

DOI: 10.4213/tmf10630