arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1406.3702math.SPmath-phmath.MPnlin.SI
收藏

Camassa-Holm方程整体守恒多峰解的等谱问题

An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation

Jonathan Eckhardt, Aleksey Kostenko

摘要:

本文引入了Camassa-Holm方程整体守恒多峰解的广义等谱问题。利用M. G. Krein和H. Langer,我们证明了守恒Camassa-Holm方程在多峰情形下通过逆谱变换是可积的.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑