A generalization of the Lax equation

被引：3
|
作者：
Przybylska, M [1 ]
机构：
[1] Nicholas Copernicus Univ, Torun Ctr Astron, PL-87100 Torun, Poland
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2001年 / 38卷 / 3-4期
关键词：
Lax equation; integrability; Hamiltonian systems; R matrices; Skylyanin bracket; tensor invariants;
D O I：
10.1016/S0393-0440(00)00065-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a generalization of the standard Lax equation defined by means of an arbitrary action of a Lie algebra on a matrix differential manifold. We analyze properties of obtained equation and show examples with physical applications. In particular, certain constructions of Hamiltonian subclasses of this generalized Lax equation are described. (C) 2001 Elsevier Science B.V. all rights reserved.
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页码：217 / 252
页数：36
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