Multi-peakon solutions of the Degasperis-Procesi equation

被引：235

作者：

Lundmark, H ^{[1
]}

Szmigielski, J

机构：

[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

[2] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada

来源：

INVERSE PROBLEMS | 2003年 / 19卷 / 06期

关键词：

Continued fraction - Degasperis-Procesi equation - Inverse scattering - Multi peakon solutions - Shallow water equation;

D O I：

10.1088/0266-5611/19/6/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an inverse scattering approach for computing n-peakon solutions of the Degasperis-Procesi equation (a modification of the Camassa-Holm (CH) shallow water equation). The associated non-self-adjoint spectral problem is shown to be amenable to analysis using the isospectral deformations induced from the n-peakon solution, and the inverse problem is solved by a method eneralizing the continued fraction solution of the peakon sector of the CH equation.

引用

页码：1241 / 1245

页数：5

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