On Action-Angle Variables¶for the Second Poisson Bracket of KdV

被引：0
|
作者：
T. Kappeler
M. Makarov
机构：
[1] Institut für Mathematik,
[2] Universität Zürich,undefined
[3] Winterthurerstrasse 190,undefined
[4] 8057 Zürich,undefined
[5] Switzerland. E-mail: tk@math.unizh.ch,undefined
来源：
Communications in Mathematical Physics | 2000年 / 214卷
关键词：
Sobolev Space; Poisson Bracket;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that on the Sobolev spaces HN(S1) (N≥ 0), each leaf of the foliation, induced by the second Poisson bracket of KdV, admits global action-angle variables. The actions with respect to the first bracket raise to the actions with respect to the second bracket. The angles for the first bracket are, at the same time, angles for the second bracket.
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页码：651 / 677
页数：26
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