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| Symmetric q-Deformed KP Hierarchy |
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Citation： |
Kelei TIAN,Jingsong HE,Yucai SU.Symmetric q-Deformed KP Hierarchy[J].Chinese Annals of Mathematics B,2015,36(1):1~10 |
| Page view： 1745
Net amount： 1421 |
Authors： |
Kelei TIAN; Jingsong HE; Yucai SU; |
Foundation： |
supported by the National Natural Science Foundation of China (Nos. 11201451,
11271210, 11371278, 11431010), the Erasmus Mundus Action 2 EXPERTS, the SMSTC grant (No.
12XD1405000) and Fundamental Research Funds for the Central Universities. |
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| Abstract： |
Based on the analytic property of the symmetric q-exponent eq(x), a new
symmetric q-deformed Kadomtsev-Petviashvili (q-KP for short) hierarchy associated with
the symmetric q-derivative operator ?q is constructed. Furthermore, the symmetric q-CKP
hierarchy and symmetric q-BKP hierarchy are defined. The authors also investigate the
additional symmetries of the symmetric q-KP hierarchy. |
Keywords： |
q-Derivative, Symmetric q-KP hierarchy, Additional symmetries |
Classification： |
35Q53, 37K05, 37K10 |
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