Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data. The main difference with respect to the standard Inverse Scattering Transform lies in the fact that we have a weighted spectral problem. We therefore have to develop different asymptotic expansions.
Recommended Citation
A. Constantin, V. Gerdjikov and R. Ivanov, Inverse Scattering Transform for the Camassa-Holm equation, Inv. Problems 22 (2006) 2197-2207
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Dynamic Systems Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Inverse Problems 22 (2006) 2197-2207