FIBRATION OF THE PHASE-SPACE FOR THE KORTEWEG-DEVRIES EQUATION

被引：26
作者：
KAPPELER, T [1 ]
机构：
[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
来源：
ANNALES DE L INSTITUT FOURIER | 1991年 / 41卷 / 03期
关键词：
KORTEWEG-DEVRIES EQUATION; GLOBAL ACTION-ANGLE VARIABLES; ISOSPECTRAL POTENTIALS; SCHRODINGER EQUATION;
D O I：
10.5802/aif.1265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we prove that the fibration of L2(S1) by potentials which are isospectral for the 1-dimensional periodic Schrodinger equation, is trivial. This result can be applied, in particular, to N-gap solutions of the Korteweg-de Vries equation (KdV) on the circle : one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
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页码：539 / 575
页数：37
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