Classical r-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras

被引：0
|
作者：
Luen-Chau Li
机构：
[1] Department of Mathematics,
[2] Pennsylvania State University,undefined
[3] University Park,undefined
[4] PA 16802,undefined
[5] USA.¶E-mail: luenli@math.psu.edu,undefined
来源：
Communications in Mathematical Physics | 1999年 / 203卷
关键词：
Poisson Structure; Hamiltonian Formulation; Toda Lattice; Poisson Algebra; Natural Family;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a classical r-matrix on a Poisson algebra, we show how to construct a natural family of compatible Poisson structures for the Hamiltonian formulation of Lax equations. Examples for which our formalism applies include the Benny hierarchy, the dispersionless Toda lattice hierarchy, the dispersionless KP and modified KP hierarchies, the dispersionless Dym hierarchy, etc.
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页码：573 / 592
页数：19
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