THE ADLER-VANMOERBEKE MODEL - LAX REPRESENTATION AND POISSON STRUCTURE

被引：4

作者：

AVAN, J

MAILLARD, JM

TALON, M

机构：

[1] LPTHE1 1 U.A.280., Université Paris VI, Tour 16, ler étage, 4, Place Jussieu

来源：

PHYSICS LETTERS B | 1990年 / 240卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(90)90423-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the classical integrability of the Adler-van Moerbeke model, describing in particular cases the motion on an ellipsoid with a central force. Classical integrability is associated with a generalized structure for the Poisson brackets of the Lax operator. The already known set of conserved quantities for this model turns out to follow straightforwardly from this structure. © 1990.

引用

页码：145 / 148

页数：4

共 16 条

[1] COMPLETELY INTEGRABLE SYSTEMS, EUCLIDEAN LIE-ALGEBRAS, AND CURVES [J].