Rational solutions of the Zakharov-Shabat equations and completely integrable systems of N particles on a line
Rational solutions of the Zakharov-Shabat equations and completely integrable systems of N particles on a line
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Zakharov-Shabat 方程和直线上 N 个粒子的完全可积系统的有理解
DOI：
10.1007/bf01660590
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
I. Krichever
中科院分区：
文献类型：
--
作者：
I. Krichever
构造了Kadomtsev-Petviashvili方程的所有递减有理解。所提出的方法使我们能够识别所获得的功能与运动的N个粒子的系统上的线与Calogero-Moser型的哈密顿的极点的运动。因此，这个哈密顿系统是嵌入在理论的代数几何解的Zakharov-Shabat方程。
One constructs all the decreasing rational solutions of the Kadomtsev-Petviashvili equations. The presented method allows us to identify the motion of the poles of the obtained functions with the motion of a system of N particles on a line with a Hamiltonian of the Calogero-Moser type. Thus, this Hamiltonian system is imbedded in the theory of the algebraic-geometric solutions of the Zakharov-Shabat equations.