On the spectral problem associated with the Camassa-Holm equation

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Abstract

We give a basic uniqueness theorem in the inverse spectral theory for a Sturm-Liouville equation with a weight which is not of one sign. It is shown that the theorem may be applied to the spectral problem associated with the Camassa-Holm integrable system which models shallow water waves.
Original languageEnglish
Pages (from-to)422-434
JournalJournal of Nonlinear Mathematical Physics
Volume11
Issue number4
DOIs
Publication statusPublished - 2004

Subject classification (UKÄ)

  • Mathematics

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