On action-angle variables for the second Poisson bracket of KdV

被引：4

作者：

Kappeler, T ^{[1
]}

Makarov, M ^{[1
]}

机构：

[1] Univ Zurich, Math Inst, CH-8057 Zurich, Switzerland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 214卷 / 03期

关键词：

D O I：

10.1007/s002200000282

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that on the Sobolev spaces H-N(S-1) (N greater than or equal to 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 fil st bracket are, at the same time, angles for the second bracket.

引用

页码：651 / 677

页数：27

共 19 条

[1]

Battig D, 1997, PAC J MATH, V181, P1

[2] ON THE SYMPLECTIC STRUCTURE OF THE PHASE-SPACE FOR PERIODIC KDV, TODA, AND DEFOCUSING NLS [J].