On the modified KP hierarchy: Tau functions, squared eigenfunction symmetries and additional symmetries
On the modified KP hierarchy: Tau functions, squared eigenfunction symmetries and additional symmetries
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关于修改后的 KP 层次结构：Tau 函数、平方本征函数对称性和附加对称性
DOI：
10.1016/j.geomphys.2018.07.022
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发表时间：
2018-12
影响因子：
1.5
通讯作者：
Tian Kelei
中科院分区：
文献类型：
--
作者：
Cheng Jipeng;Li Maohua;Tian Kelei
In this paper, the modified KP hierarchy in the Kupershmidt–Kiso version is investigated starting from the tau functions. There are two tau functions for the modified KP hierarchy. We firstly give some properties about the tau functions, including Hirota bilinear identities and Fay identities. And it is showed that these two functions can be viewed as two different tau functions of the KP hierarchy. Then after constructing the spectral representations of the eigenfunction and the adjoint eigenfunctions, the expressions of all the squared eigenfunction potentials in the modified KP hierarchy are obtained. Next, the study of the squared eigenfunction symmetries and the additional symmetries is considered, whose actions on the two tau functions are derived. At last, the Virasoro additional symmetries in the constrained cases are given, also with the actions on the tau functions.
In this paper, the modified KP hierarchy in the Kupershmidt–Kiso version is investigated starting from the tau functions. There are two tau functions for the modified KP hierarchy. We firstly give some properties about the tau functions, including Hirota bilinear identities and Fay identities. And it is showed that these two functions can be viewed as two different tau functions of the KP hierarchy. Then after constructing the spectral representations of the eigenfunction and the adjoint eigenfunctions, the expressions of all the squared eigenfunction potentials in the modified KP hierarchy are obtained. Next, the study of the squared eigenfunction symmetries and the additional symmetries is considered, whose actions on the two tau functions are derived. At last, the Virasoro additional symmetries in the constrained cases are given, also with the actions on the tau functions.
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影响因子：
1.2
作者：
M. Tu
通讯作者：
M. Tu
DOI：
10.1142/9789812812650_0032
发表时间：
1982
期刊：
--
影响因子：
--
作者：
E. Date;M. Kashiwara;T. Miwa;M. Jimbo
通讯作者：
E. Date;M. Kashiwara;T. Miwa;M. Jimbo
DOI：
10.3842/sigma.2006.072
发表时间：
2006-08
影响因子：
0.9
作者：
T. Takebe;L. Teo
通讯作者：
T. Takebe;L. Teo
影响因子：
2.4
作者：
H. Aratyn;E. Nissimov;S. Pacheva
通讯作者：
H. Aratyn;E. Nissimov;S. Pacheva
DOI：
10.2977/prims/1195166743
发表时间：
1993-08
影响因子：
1.2
作者：
B. Konopelchenko;W. Oevel
通讯作者：
B. Konopelchenko;W. Oevel