HAMILTONIAN STRUCTURES AND LAX EQUATIONS

被引：245

作者：

BABELON, O

VIALLET, CM

机构：

[1] Laboratoire de Physique Théorique et des Hautes Energies, Université Paris 6, F-75252 Paris Cedex 05, Tour 16, ler etage

来源：

PHYSICS LETTERS B | 1990年 / 237卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(90)91198-K

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that any hamiltonian system, which is integrable in the sense of Liouville, admits a Lax representation, at least locally at generic points in phase space. We introduce the most general Poisson bracket ensuring the involution property of the integrals of motion and existence of a Lax pair. We give examples of the structure we describe. © 1990.

引用

页码：411 / 416

页数：6

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