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 language | English |
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Pages (from-to) | 422-434 |
Journal | Journal of Nonlinear Mathematical Physics |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2004 |
Subject classification (UKÄ)
- Mathematics