CANONICAL-FORMS AND INTEGRABILITY OF BI-HAMILTONIAN SYSTEMS

被引：35
|
作者：
OLVER, PJ
机构：
[1] School of Mathematics, University of Minnesota, Minneapolis
来源：
PHYSICS LETTERS A | 1990年 / 148卷 / 3-4期
关键词：
D O I：
10.1016/0375-9601(90)90775-J
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Turiel's complete list of canonical forms for finite-dimensional, nondegenerate, compatible pairs of Hamiltonian structures is used to determine the precise local integrability of bi-Hamiltonian systems of ordinary differential equation. Also, classification of incompatible Hamiltonian pairs in four dimensions and the relationship between compatibility and integrability are discussed. © 1990.
引用
收藏
页码：177 / 187
页数：11
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