Schlesinger-Backlund transformations for the n-component KP
Schlesinger-Backlund transformations for the n-component KP
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DOI：
10.1063/1.532423
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发表时间：
1998-10
影响因子：
1.3
通讯作者：
J. Leur
中科院分区：
文献类型：
--
作者：
J. Leur
N-分量Kadomtsev-Petviashvili(KP)族是由Sato引入的n+1n×n-矩阵拟微分算子的变形方程，即Lax方程。在这样的一组算子上，我们定义了Schlesinger-Backlund变换，它从Kp层次的一组解中产生一组新的解。递归地应用这样的变换，我们得到了一整族解，然后我们可以从这些解导出Kp-tau函数。
The n-component Kadomtsev–Petviashvili (KP) hierarchy was introduced by Sato as the set of deformation equations, i.e., Lax equations, of n+1n×n-matrix pseudodifferential operators. On such a set of operators we define a Schlesinger–Backlund transformation, which produces from a set of solutions of the KP hierarchy a new set of solutions. Applying such transformations recursively we obtain a whole family of solutions, from which we can then derive the KP tau function.