2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221487Based on the Lax operator $L$ and Orlov-Shulman's $M$ operator, the string equations of the $q$-KP hierarchy are established from special additional symmetry flows, and the negative Virasoro constraint generators \{$L_{-n}, n\geq1$\} of the $2-$reduced $q$-KP hierarchy are also obtained.11pagesExactly Solvable and Integrable Systemstext