Determinant structure of the rational solutions for the Painlevé II equation
Determinant structure of the rational solutions for the Painlevé II equation
复制标题
Painlevé II 方程有理解的行列式结构
DOI：
10.1063/1.531648
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发表时间：
1996
影响因子：
1.3
通讯作者：
Y. Ohta
中科院分区：
文献类型：
--
作者：
K. Kajiwara;Y. Ohta
利用双线性形式讨论了Painleve II方程有理解的两类行列式表示。其中一个是Devisme多项式表示，另一个是Hankel行列式表示。它们分别来自KP族和户田格的行列式解。
Two types of determinant representations of the rational solutions for the Painleve II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.