Integrable systems, poisson pencils, and hyperelliptic lax pairs

被引：0

作者：

Fedorov Yu.

机构：

来源：

Journal of Mathematical Sciences | 1999年 / 94卷 / 4期

关键词：

Rigid Body; Integrable System; Spectral Parameter; Ideal Fluid; Hyperelliptic Curve;

D O I：

10.1007/BF02365199

中图分类号：

学科分类号：

摘要：

A new Lax pair for the multidimensional Manakov system on the Lie algebra so(m) with a spectral parameter defined on a certain unramified covering of a hyperelliptic curve is considered. For the Clebsh-Perelomov system on the Lie algebra e(n), similar pairs are presented. Multidimensional analogs of the classical integrable Steklov-Lyapunov system describing a motion of a rigid body in an ideal fluid are found. Bibliography: 15 titles. © 1999 Kluwer Academic/Plenum Publishers.

引用

页码：1501 / 1511

页数：10

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