String Equations of the q-KP Hierarchy

Citation:

Kelei TIAN,Jingsong HE,Yucai SU,Yi CHENG.String Equations of the q-KP Hierarchy[J].Chinese Annals of Mathematics B,2011,32(6):895~904
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Authors:

Kelei TIAN; Jingsong HE; Yucai SU; Yi CHENG;

Foundation:

the National Natural Science Foundation of China (Nos. 10971109, 10971209, 10825101).
Abstract: Based on the Lax operator $L$ and Orlov-Shulman's $M$ operator, the string equations of the $q$-KP hierarchy are established from the special additional symmetry flows, and the negative Virasoro constraint generators \{$L_{-n}, n\geq1$\} of the $2$-reduced $q$-KP hierarchy are also obtained.

Keywords:

q-KP hierarchy, Additional symmetry, String equations, Virasoro constraints

Classification:

35Q53, 37K05, 37K10
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