Inverse scattering transform for the Camassa-Holm equation

被引：359

作者：

Constantin, Adrian ^{[1
]}

Gerdjikov, Vladimir S.

Ivanov, Rossen I.

机构：

[1] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland

[2] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria

来源：

INVERSE PROBLEMS | 2006年 / 22卷 / 06期

关键词：

D O I：

10.1088/0266-5611/22/6/017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inverse scattering method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data. The main difference with respect to the standard inverse scattering transform lies in the fact that we have a weighted spectral problem. We therefore have to develop different asymptotic expansions.

引用

页码：2197 / 2207

页数：11

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