Symmetric q-Deformed KP Hierarchy  

作　　者：Kelei TIAN Jingsong HE Yucai SU 

机构地区：[1]School of Mathematics, Hefei University of Technology [2]Department of Mathematics, Ningbo University [3]Department of Mathematics, Tongji University

出　　处：《Chinese Annals of Mathematics,Series B》2015年第1期1-10,共10页数学年刊（B辑英文版）

基　　金：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);Fundamental Research Funds for the Central Universities

摘　　要：Based on the analytic property of the symmetric q-exponent e_q(x),a new symmetric q-deformed Kadomtsev-Petviashvili(q-KP for short) hierarchy associated with the symmetric q-derivative operator α_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.

关 键 词：Q-DERIVATIVE Symmetric q-KP hierarchy Additional symmetries 

分 类 号：O172[理学—数学]