The determinant representation of the gauge transformation for the discrete KP hierarchy

查看全文 作　　者：Liu [2]ShaoWei;Cheng [2]Yi;He [1]JingSong

机构地区：[1]Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China;[2]Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

出　　处：《Science China Mathematics》索引2010年第53卷第5期,共12页

基　　金：supported by National Natural Science Foundation of China (Grant No.10671187);the Program for New Century Excellent Talents in University (Grant No.NCET-08-0515) 摘　　要：A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is established and it is used to get a new τ function τ(n+k) of the dKP hierarchy from an initial τ.In this process,we introduce a generalized discrete Wronskian determinant and some useful properties of discrete difference operators. 关键词：GAUGE TRANSFORMATION dKP HIERARCHY τ function

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The determinant representation of the gauge transformation for the discrete KP hierarchy

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