The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the Camassa-Holm Equation

被引：15
作者：
Eckhardt, Jonathan [1 ]
Kostenko, Aleksey [1 ,2 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2020年 / 2020卷 / 16期
基金：
奥地利科学基金会;
关键词：
KORTEWEG-DE-VRIES; ALGEBRO-GEOMETRIC SOLUTIONS; SHALLOW-WATER EQUATION; ISOSPECTRAL PROBLEM; WEAK SOLUTIONS; SCATTERING; EVOLUTION; FLOWS;
D O I：
10.1093/imrn/rny176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the inverse spectral problem associated with periodic conservative multi-peakon solutions of the Camassa-Holm equation. The corresponding isospectral sets can be identified with finite-dimensional tori.
引用
收藏
页码：5126 / 5151
页数：26
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