Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
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DOI：
10.1143/jpsj.62.1872
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发表时间：
1993-06
影响因子：
1.7
通讯作者：
Y. Ohta;R. Hirota;S. Tsujimoto;Tatsuya Imai
中科院分区：
文献类型：
--
作者：
Y. Ohta;R. Hirota;S. Tsujimoto;Tatsuya Imai
离散KP层次的解由两种类型的行列式表示。第一个表达式是卡索拉蒂行列式，第二个表达式是离散格拉姆式行列式。在这两种情况下，行列式的差分公式以一种简单的形式给出，层次的双线性方程被简化为行列式的拉普拉斯展开式。
Solutions to the discrete KP hierarchy are expressed by two types of determinants. The first expression is the Casorati determinant and the second one is the discrete Gram type determinant. In both cases, the difference formula for the determinants are given in a simple form and the bilinear equations of the hierarchy are reduced to the Laplace expansion for determinants.