Sato's Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy
Sato's Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy
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DOI：
10.1088/1751-8113/43/13/135202
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发表时间：
2010-04
期刊：
影响因子：
--
通讯作者：
Shaowei Liu;Cheng Yi
中科院分区：
文献类型：
--
作者：
Shaowei Liu;Cheng Yi
引入了离散KP(dKP)层次结构的两种对称性：Sato's Bäcklund变换和附加对称性，并得到了证明这两种对称性等价的ASvM公式。在此过程中引入了dKP层次的Fay恒等式和差分Fay恒等式，并计算了tau函数形式的ASvM公式。
Two kinds of symmetries, Sato's Bäcklund transformations and additional symmetries, for the discrete KP (dKP) hierarchy are introduced, and the ASvM formula which demonstrates the equivalence of these two kinds of symmetries is obtained. In this process the Fay identity and the difference Fay identity of the dKP hierarchy are introduced and the ASvM formula in the form of tau function is calculated.