On the Inverse Spectral Problem for the Camassa–Holm Equation
On the Inverse Spectral Problem for the Camassa–Holm Equation
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DOI：
10.1006/jfan.1997.3231
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发表时间：
1998-06
影响因子：
1.7
通讯作者：
A. Constantin
中科院分区：
文献类型：
--
作者：
A. Constantin
寻找Camassa-Holm方程周期解的一个重要基础是理解与之相关的谱问题y′= 14 y+λmy.周期谱可以从赋范常数和辅助谱的元素中恢复。然后可以从周期谱重建电势。序列0 m∈C1（R）的宽度λ2n−λ2n− 1指数减小的一个充要条件.
Abstract A key basis for seeking periodic solutions of the Camassa–Holm equation is to understand the associated spectral problem y′= 1 4 y+λmy. The periodic spectrum can be recovered from the norming constants and the elements of the auxiliary spectrum. The potential can then be reconstructed from the periodic spectrum. A necessary and sufficient condition for exponential decrease of the widthsλ2n−λ2n−1for a sequence 0 m∈C1(R).