Multi-peakons and a theorem of Stieltjes

Multi-peakons and a theorem of Stieltjes
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DOI:
10.1088/0266-5611/15/1/001
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发表时间:
1999-02
期刊:
影响因子:
2.1
通讯作者:
R. Beals;D. Sattinger;J. Szmigielski
R. Beals;D. Sattinger;J. Szmigielski
中科院分区:
数学2区
文献类型:
--
作者:
R. Beals;D. Sattinger;J. Szmigielski

文献摘要

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利用Stieltjes关于连分式的定理,得到了Camassa-Holm方程多峰解的一个封闭形式.得到了散射位移的显式公式。
A closed form of the multi-peakon solutions of the Camassa-Holm equation is found using a theorem of Stieltjes on continued fractions. An explicit formula is obtained for the scattering shifts.