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On the Spectral Problem Associated with the Camassa-Holm Equation
- Source :
- Journal of Nonlinear Mathematical Physics. 11:422
- Publication Year :
- 2004
- Publisher :
- Springer Science and Business Media LLC, 2004.
-
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.
- Subjects :
- Waves and shallow water
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Camassa–Holm equation
Spectral theory
Integrable system
Uniqueness theorem for Poisson's equation
Mathematical analysis
Inverse
Statistical and Nonlinear Physics
Mathematics::Spectral Theory
Mathematical Physics
Sign (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 17760852
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Journal of Nonlinear Mathematical Physics
- Accession number :
- edsair.doi...........63c5213c0b84559a4c696a744537ca6f
- Full Text :
- https://doi.org/10.2991/jnmp.2004.11.4.1