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
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.
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