On the scattering problem for the Camassa-Holm equation

On the scattering problem for the Camassa-Holm equation

The Camassa-Holm equation has a number of constants of motion arising as eigenvalues of an associated spectral problem. We give a description of the spectral picture and discuss the scattering problem.

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2001-04, Vol.457 (2008), p.953-970
1. Verfasser: Constantin, Adrian
Format: Artikel
Sprache:eng
Schlagworte:
Camassa-Holm Equation
Continuous spectra
Differential equations
Direct And Inverse Scattering
Eigenfunctions
Eigenvalues
Infinity
Inverse scattering
Isospectral Problem
Mathematics
Research Article
Shallow water equations
Solitons
Spectral theory
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Beschreibung
Zusammenfassung:The Camassa-Holm equation has a number of constants of motion arising as eigenvalues of an associated spectral problem. We give a description of the spectral picture and discuss the scattering problem.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2000.0701