Geodesic
On the~constrained $q$-mKP hierarchy: Additional symmetry and a~hidden Virasoro algebraic structure
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 287-298

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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. 
@article{TMF_2024_219_2_a6,
     author = {Song Li and Kelei Tian and Ying Xu and Ge Yi},
     title = {On the~constrained $q${-mKP} hierarchy: {Additional} symmetry and a~hidden {Virasoro} algebraic structure},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {287--298},
     publisher = {mathdoc},
     volume = {219},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2024_219_2_a6/}
}
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Song Li; Kelei Tian; Ying Xu; Ge Yi. On the~constrained $q$-mKP hierarchy: Additional symmetry and a~hidden Virasoro algebraic structure. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 287-298. http://geodesic.mathdoc.fr/item/TMF_2024_219_2_a6/