Inverse Scattering Transform for the Camassa-Holm equation

Authors

Adrian Constantin, Trinity CollegeFollow
Vladimir Gerdjikov, Bulgarian Academy of SciencesFollow
Rossen Ivanov, Technological University DublinFollow

Document Type

Other

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics

Publication Details

Inverse Problems 22 (2006) 2197-2207

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.

DOI

https://doi.org/10.1088/0266-5611/22/6/017

Recommended Citation

Constantin, A. & Gerdjikov, V. & Ivanov,R. (2006. Inverse Scattering Transform for the Camassa-Holm equation. Inverse Problems, vol. 22, no. 6. doi:10.1088/0266-5611/22/6/017

Funder

SFI