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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 2, Pages 287–298
DOI: https://doi.org/10.4213/tmf10630 (Mi tmf10630) 		 
On the constrained q-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure

Song Lia, Kelei Tianb, Ying Xub, Ge Yib

a School of Mathematics, Sun Yat-sen University, Zhuhai, Guangdong, China
b School of Mathematics (Zhuhai), Hefei University of Technology, Hefei, Anhui, China
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DOI: https://doi.org/10.4213/tmf10630
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.
Funding agency Grant number
National Natural Science Foundation of China 12171132
12171133
12271136
Natural Science Foundation of Anhui Province 2008085MA05
This work is supported by the National Natural Science Foundation of China (grant No. 12171132, 12171133, and 12271136) and the Anhui Province Natural Science Foundation (grant No. 2008085MA05).
Received: 30.10.2023
Revised: 30.10.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 2, Pages 781–791
DOI: https://doi.org/10.1134/S0040577924050076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Song Li, Kelei Tian, Ying Xu, Ge Yi, “On the constrained q-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure”, TMF, 219:2 (2024), 287–298; Theoret. and Math. Phys., 219:2 (2024), 781–791
Citation in format AMSBIB
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\by Song~Li, Kelei~Tian, Ying~Xu, Ge~Yi
\paper On the~constrained $q$-mKP hierarchy: Additional symmetry and a~hidden Virasoro algebraic structure
\jour TMF
\yr 2024
\vol 219
\issue 2
\pages 287--298
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2024TMP...219..781L}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 219
\issue 2
\pages 781--791
\crossref{https://doi.org/10.1134/S0040577924050076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85194456432}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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