An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa-Holm Equation

被引：38

作者：

Eckhardt, Jonathan ^{[1
]}

Kostenko, Aleksey ^{[2
]}

机构：

[1] Cardiff Univ, Sch Comp Sci & Informat, Cardiff CF24 3AA, S Glam, Wales

[2] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 329卷 / 03期

基金：

奥地利科学基金会;

关键词：

SHALLOW-WATER EQUATION; KORTEWEG-DE-VRIES; DISSIPATIVE SOLUTIONS; MULTIPEAKON SOLUTIONS; INVERSE SCATTERING; WEAK SOLUTIONS; HIERARCHY; OPERATORS; MATRICES; BREAKING;

D O I：

10.1007/s00220-014-1905-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation. Utilizing the solution of the indefinite moment problem given by M. G. Krein and H. Langer, we show that the conservative Camassa-Holm equation is integrable by the inverse spectral transform in the multi-peakon case.

引用

页码：893 / 918

页数：26

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