On the scattering problem for the Camassa-Holm equation

被引：599

作者：

Constantin, A ^{[1
]}

机构：

[1] Univ Newcastle, Dept Math, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2001年 / 457卷 / 2008期

关键词：

isospectral problem; direct and inverse scattering; Camassa-Holm equation;

D O I：

10.1098/rspa.2000.0701

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The Camassa-Holm equation has a number of constants of motion arising as eigenvalues of an associated spectral problem. We give a description of the spectral picture and discuss the scattering problem.

引用

页码：953 / 970

页数：18

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