String Equations of the q-KP Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

Based 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.

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